{"id":202120,"date":"2024-02-20T16:46:37","date_gmt":"2024-02-20T15:46:37","guid":{"rendered":"https:\/\/groupe-reussite.fr\/ressources\/?page_id=202120"},"modified":"2024-02-29T17:53:46","modified_gmt":"2024-02-29T16:53:46","slug":"cours-en-ligne-maths-vecteurs-seconde","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-vecteurs-seconde\/","title":{"rendered":"Cours de maths seconde sur le vecteurs"},"content":{"rendered":"<div class=\"Latex_page\">\n<section class=\"has_ae_slider elementor-element elementor-section-full_width elementor-reverse-mobile elementor-section-stretched elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default elementor-section elementor-top-section\">\n<div class=\"elementor-container elementor-column-gap-no\">\n<div class=\"elementor-row\">\n<div class=\"elementor-column-wrap elementor-element-populated colone_elementor\">\n\t\t<div data-elementor-type=\"page\" data-elementor-id=\"88472\" class=\"elementor elementor-88472\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-e664302 elementor-section-content-bottom elementor-hidden-mobile wrap elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"e664302\" data-element_type=\"section\" id=\"sticky_sidebar\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d5b7bab strick_col ae-bg-gallery-type-default\" data-id=\"d5b7bab\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4b04bef elementor-headline--style-highlight elementor-widget elementor-widget-animated-headline\" data-id=\"4b04bef\" data-element_type=\"widget\" data-settings=\"{&quot;highlighted_text&quot;:&quot;r\\u00e9ussir en maths&quot;,&quot;headline_style&quot;:&quot;highlight&quot;,&quot;marker&quot;:&quot;circle&quot;,&quot;loop&quot;:&quot;yes&quot;,&quot;highlight_animation_duration&quot;:1200,&quot;highlight_iteration_delay&quot;:8000}\" data-widget_type=\"animated-headline.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-headline\">\n\t\t\t\t\t<span class=\"elementor-headline-plain-text elementor-headline-text-wrapper\">Mon parcours pour<\/span>\n\t\t\t\t<span class=\"elementor-headline-dynamic-wrapper elementor-headline-text-wrapper\">\n\t\t\t\t\t<span class=\"elementor-headline-dynamic-text elementor-headline-text-active\">r\u00e9ussir en maths<\/span>\n\t\t\t\t<\/span>\n\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-533b999 elementor-position-left elementor-vertical-align-middle elementor-view-default elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"533b999\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span class=\"elementor-icon elementor-animation-\" >\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-check-square\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\t\t\t\t<p class=\"elementor-icon-box-title\">\n\t\t\t\t\t<span  >\n\t\t\t\t\t\tJ'aprends le cours par coeur\t\t\t\t\t<\/span>\n\t\t\t\t<\/p>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9d143f0 elementor-position-left elementor-vertical-align-middle elementor-view-default elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"9d143f0\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span class=\"elementor-icon elementor-animation-\" >\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-check-square\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\t\t\t\t<p class=\"elementor-icon-box-title\">\n\t\t\t\t\t<span  >\n\t\t\t\t\t\tJe travaille avec un prof de maths\t\t\t\t\t<\/span>\n\t\t\t\t<\/p>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a86028c elementor-position-left elementor-vertical-align-middle elementor-view-default elementor-mobile-position-top elementor-widget elementor-widget-icon-box\" data-id=\"a86028c\" data-element_type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span class=\"elementor-icon elementor-animation-\" >\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-check-square\"><\/i>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\t\t\t\t<p class=\"elementor-icon-box-title\">\n\t\t\t\t\t<span  >\n\t\t\t\t\t\tJe travaille entre chaque s\u00e9ance\t\t\t\t\t<\/span>\n\t\t\t\t<\/p>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4b5aa0f elementor-align-center elementor-widget elementor-widget-button\" data-id=\"4b5aa0f\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-lg\" role=\"button\" id=\"CTA_PAGE_CHAPEAU\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers maths<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bdaf46b elementor-widget elementor-widget-text-editor\" data-id=\"bdaf46b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: center;\"><b>Avis Google France\u00a0<br \/><\/b><span style=\"font-size: 17px; color: #e5a430;\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b style=\"font-size: 17px;\"> 4,8 sur 5<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-column-wrap elementor-element-populated colone_latex\">\n<div class=\"style_pag\" style=\"color: #000;font-family: 'Lato', Sans-serif\">\n<div class=\"elementor-text-editor elementor-clearfix\">\n<h1 class=\"Latex_page_title\" style=\"text-align: center\">Fiche de cours en maths sur les vecteurs en seconde<\/h1>\n<\/div>\n<p class=\"colone_latex_ancres\" style=\"text-align: center\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-vecteurs-seconde\/\">R\u00e9sum\u00e9 de cours<\/a>\u00a0<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-maths-vecteurs-seconde\/\">Exercices et corrig\u00e9s<\/a><\/p>\n<p class=\"colone_latex_ancres\" style=\"text-align: center\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-seconde\/\">Cours en ligne de Maths en Seconde g\u00e9n\u00e9rale<\/a><\/p>\n<p>Ce cours sur les vecteurs est parfait pour les secondes qui veulent se familiariser avec les bases de la g\u00e9om\u00e9trie vectorielle. Vous y apprendrez tout sur les translations, les \u00e9galit\u00e9s et les propri\u00e9t\u00e9s des vecteurs. Si vous avez besoin d&rsquo;une aide plus cibl\u00e9e, pensez \u00e0 des <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\">cours particuliers maths<\/a> avec professeur qualifi\u00e9 qui peut vous guider \u00e9tape par \u00e9tape.<\/p>\n<h2><strong>R\u00e9sum\u00e9 de cours vecteur et translation en 2nde<\/strong><\/h2>\n<p><strong>D\u00e9finition : <\/strong>On consid\u00e8re deux points <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> du plan.<\/p>\n<p>La<strong> translation<\/strong> qui transforme <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> en <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> est appel\u00e9e <strong>translation de vecteur<\/strong> <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-641e9511492a62b5bd4131bc67a7a0bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"27\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><strong>Remarque :<\/strong> Le point <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> est l&rsquo;<strong>origine<\/strong> du vecteur, le point <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> son <strong>extr\u00e9mit\u00e9<\/strong>.<\/p>\n<p>Si les points <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> sont confondus (<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-33b04f51939740aca0a99fa594010dac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#61;&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"51\" style=\"vertical-align: 0px;\"\/>), on parle de <strong>vecteur nul<\/strong>. On le note <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e233daa0d904f33e4de2a59d74f92c6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"17\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-202140\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-definition-vecteurs.jpg\" alt=\"\" width=\"195\" height=\"108\" \/><\/p>\n<p><strong>D\u00e9finition d&rsquo;un vecteur en seconde<\/strong><\/p>\n<p>Le vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-641e9511492a62b5bd4131bc67a7a0bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"27\" style=\"vertical-align: 0px;\"\/> est d\u00e9fini par :<\/p>\n<ul>\n<li>Sa <strong>direction<\/strong> (celle de la droite <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-075f3749fa4dd7932001680fd1118949_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#65;&#66;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"40\" style=\"vertical-align: -5px;\"\/>),<\/li>\n<li>Sa <strong>norme<\/strong> (la longueur du segment <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9fd566b0e28516ed5c7d24192dac3fe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#091;&#65;&#66;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"34\" style=\"vertical-align: -5px;\"\/>),<\/li>\n<li>Son <strong>sens<\/strong> (de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> vers <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>).<\/li>\n<\/ul>\n<p><strong>Remarque :<\/strong> La longueur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-89b2a721cf233a7e57685324f6648a89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"27\" style=\"vertical-align: 0px;\"\/> est appel\u00e9e norme du vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-641e9511492a62b5bd4131bc67a7a0bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"27\" style=\"vertical-align: 0px;\"\/>. On la note <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-683eb0bb221781a9c981250505b53285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#124;&#124;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#124;&#124;\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"43\" style=\"vertical-align: -5px;\"\/>.<\/p>\n<p><strong>Exemple 1 :<\/strong><\/p>\n<p>Construire les vecteurs <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a8a7fee79da51d85a8979d97bb51b771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#67;&#68;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"29\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d13a2313f04525d78d7c64717bb37d43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#70;&#69;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"28\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p>Construire le point <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-30a79c32f18567063fe44716929e7ced_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#71;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/>, image du point <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> par la translation de vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a8a7fee79da51d85a8979d97bb51b771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#67;&#68;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"29\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p>Construire le point <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-379db1fc1f84b7ce56b92463183097f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#72;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"\/>, image du point <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> par la translation de vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a8a7fee79da51d85a8979d97bb51b771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#67;&#68;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"29\" style=\"vertical-align: 0px;\"\/> suivie de la translation du vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d13a2313f04525d78d7c64717bb37d43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#70;&#69;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"28\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p>Construire le point <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f9c5498bb8e0a575c37f3b121b64eaf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#39;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: 0px;\"\/> sachant que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/> est l&rsquo;image de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f9c5498bb8e0a575c37f3b121b64eaf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#39;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: 0px;\"\/> par la translation de vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a8a7fee79da51d85a8979d97bb51b771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#67;&#68;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"29\" style=\"vertical-align: 0px;\"\/><\/p>\n<p>Construire le point <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a0d3f76c5dd4b80d430709e69e669e43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#39;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: 0px;\"\/> sachant que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> est l&rsquo;image de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a0d3f76c5dd4b80d430709e69e669e43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#39;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: 0px;\"\/> par la translation de vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d13a2313f04525d78d7c64717bb37d43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#70;&#69;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"28\" style=\"vertical-align: 0px;\"\/><\/p>\n<h2><img loading=\"lazy\" class=\"aligncenter size-full wp-image-202164\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-translation-exemple.jpg\" alt=\"Exemple translation cours sur les vecteurs en seconde \" width=\"662\" height=\"429\" srcset=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-translation-exemple.jpg 662w, https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-translation-exemple-300x194.jpg 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/h2>\n<h2>\u00c9galit\u00e9 de deux vecteurs en seconde<\/h2>\n<p><strong>Propri\u00e9t\u00e9 :<\/strong> Deux vecteurs sont \u00e9gaux si et seulement s&rsquo;ils ont m\u00eame direction, m\u00eame sens et m\u00eame norme.<\/p>\n<p>Exemple 2. En utilisant les r\u00e9sultats de l\u2019exemple 1, indiquer les vecteurs qui sont \u00e9gaux.<\/p>\n<h2><img loading=\"lazy\" class=\"aligncenter size-full wp-image-202166\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-egalite.jpg\" alt=\"Fiche cours vecteurs en seconde les \u00e9galit\u00e9s\" width=\"153\" height=\"190\" \/><\/h2>\n<p><strong>Propri\u00e9t\u00e9 :<\/strong> <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a777618600dbd1de4096cf760eec7ac3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#66;&#68;&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"57\" style=\"vertical-align: 0px;\"\/> est un parall\u00e9logramme (\u00e9ventuellement \u00ab\u00a0aplati\u00a0\u00bb) si et seulement si <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4a670d25cae804b09c33000aa7eb788a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#67;&#68;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"80\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><strong>Remarque :<\/strong> Attention \u00e0 l&rsquo;ordre des sommets. Ici <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a777618600dbd1de4096cf760eec7ac3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#66;&#68;&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"57\" style=\"vertical-align: 0px;\"\/> et non <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-20be0f97dbc65ce11c375a0304c33409_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#66;&#67;&#68;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"57\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<h2><img loading=\"lazy\" class=\"aligncenter size-full wp-image-202174\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-parallelogramme.jpg\" alt=\"Cours de seconde en maths sur les vecteurs parall\u00e9logramme\" width=\"321\" height=\"211\" srcset=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-parallelogramme.jpg 321w, https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-parallelogramme-300x197.jpg 300w\" sizes=\"(max-width: 321px) 100vw, 321px\" \/><\/h2>\n<p><strong>Propri\u00e9t\u00e9 :<\/strong> <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-10ebb71bad275c1815a8f2a8c5dea0be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#77;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"\/> est le milieu de <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9fd566b0e28516ed5c7d24192dac3fe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#091;&#65;&#66;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"34\" style=\"vertical-align: -5px;\"\/> si et seulement si <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f35b227602989cebfdc5f057e1e35305_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#77;&#125;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#77;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"89\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p>&nbsp;<\/p>\n<p><span data-sheets-root=\"1\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:513,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0}\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"41622\" class=\"elementor elementor-41622\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-ac73d3 elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"ac73d3\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-76e41795 ae-bg-gallery-type-default\" data-id=\"76e41795\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-74ec2e78 elementor-widget elementor-widget-heading\" data-id=\"74ec2e78\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS PARTICULIERS 2nde<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-735ff44b elementor-widget elementor-widget-heading\" data-id=\"735ff44b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Nous avons s\u00e9lectionn\u00e9 pour vous <b>les meilleurs professeurs particuliers pour la Seconde<\/b>.<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-14d4a108 elementor-widget elementor-widget-heading\" data-id=\"14d4a108\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">POUR ACC\u00c9L\u00c9RER MA PROGRESSION<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bd80c1 elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"bd80c1\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/toutes-matieres\/seconde\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Je cherche un cours particulier en seconde<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6a8fdea4 elementor-widget elementor-widget-text-editor\" data-id=\"6a8fdea4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left\"><b>Avis Google France <\/b><span style=\"color: #e5a430\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-28138d61 ae-bg-gallery-type-default\" data-id=\"28138d61\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2>Somme de vecteurs : cours de seconde<\/h2>\n<p><strong>Propri\u00e9t\u00e9 :<\/strong> La somme des vecteurs <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ff29f114bfbad46fc153b62df244ce43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/>, not\u00e9e <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5abfb3025a46c979d419102e4359c49a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"56\" style=\"vertical-align: -2px;\"\/>, est le vecteur associ\u00e9 \u00e0 la translation obtenue par la translation de vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> suivie de la translation de vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ff29f114bfbad46fc153b62df244ce43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-202182\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-somme.jpg\" alt=\"Cours maths seconde sommes des vecteurs \" width=\"317\" height=\"131\" srcset=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-somme.jpg 317w, https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-somme-300x124.jpg 300w\" sizes=\"(max-width: 317px) 100vw, 317px\" \/><\/p>\n<p><strong>Remarque :<\/strong> L&rsquo;ordre choisi n&rsquo;a pas d&rsquo;influence sur l&rsquo;enchainement de deux translations.<\/p>\n<p>En effet, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b88ea03f91e85165713da8d7a6f14069_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"137\" style=\"vertical-align: -2px;\"\/>.<\/p>\n<p><strong>Propri\u00e9t\u00e9 :<\/strong> L&rsquo;oppos\u00e9 d&rsquo;un vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/>, not\u00e9 <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-24ae4dc3fa2d612169c38ee1773116f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"30\" style=\"vertical-align: 0px;\"\/>, est le vecteur qui a la m\u00eame direction et la m\u00eame norme que le vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/>, mais qui a un sens contraire (ou oppos\u00e9) \u00e0 <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-202272\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-oppose.jpg\" alt=\"Cours maths seconde sur les vecteurs oppos\u00e9\" width=\"159\" height=\"144\" \/><\/p>\n<p><strong>Remarque :<\/strong> L&rsquo;oppos\u00e9 du vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-641e9511492a62b5bd4131bc67a7a0bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"27\" style=\"vertical-align: 0px;\"\/> est <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-166452f3f163192adeacca1483a30241_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"40\" style=\"vertical-align: 0px;\"\/> on a donc <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a90e36b5b5d0a70ab8b2eef1c4a5cad7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#61;&#45;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#66;&#65;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"92\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><strong>Propri\u00e9t\u00e9 :<\/strong> Pour tous vecteurs <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ff29f114bfbad46fc153b62df244ce43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5a92484fc0da3587e030e39558aa8f8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#119;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b88ea03f91e85165713da8d7a6f14069_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"137\" style=\"vertical-align: -2px;\"\/> (commutativit\u00e9)<\/p>\n<p>(<img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a924d6f468b688bfcbfec3031a0bb1e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#41;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#119;&#125;&#61;&#40;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#119;&#125;&#41;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#119;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"357\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-939a2d9ce38224ecf2560d31ce48892b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#48;&#125;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#48;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"179\" style=\"vertical-align: -2px;\"\/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0f9b732228823428a170de9e5a0c01c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#43;&#40;&#45;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#41;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"125\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><strong>Th\u00e9oreme :<\/strong> Relation de Chalses<\/p>\n<p>Pour tous <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1a15f101528dd0afaeda88286c0cfda2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#44;&#66;&#44;&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"57\" style=\"vertical-align: -4px;\"\/> du plan, on a <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fb32b741523a931d42047224a0c5ee57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#67;&#125;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#66;&#67;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"129\" style=\"vertical-align: -2px;\"\/>.<\/p>\n<p>En cons\u00e9quence, l&rsquo;encha\u00eenement de deux translations de vecteurs respectifs <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-641e9511492a62b5bd4131bc67a7a0bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"27\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1b503fed12975930659854fdb770b44f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#66;&#67;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"28\" style=\"vertical-align: 0px;\"\/> est la translation de vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c7d21c989f59343aa9fcb453682a9238_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#67;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"27\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><strong>Exemple :<\/strong> Simplifier l&rsquo;\u00e9criture suivante : <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ca6eea5a533ac370264145eb12a85b59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#45;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#67;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#68;&#69;&#125;&#45;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#68;&#66;&#125;&#61;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"197\" style=\"vertical-align: -2px;\"\/><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-202274\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-chalses.jpg\" alt=\"maths seconde : les vecteurs , relation de chalses\" width=\"262\" height=\"214\" \/><\/p>\n<p><strong>Propri\u00e9t\u00e9 :\u00a0<\/strong>R\u00e8gle du parall\u00e9logramme<\/p>\n<p>Le quadrilat\u00e8re <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a777618600dbd1de4096cf760eec7ac3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#66;&#68;&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"57\" style=\"vertical-align: 0px;\"\/> un parall\u00e9logramme si et seulement si <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-50ee47cea7994da6d9f33693a9be4cf9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#43;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#67;&#125;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#68;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"128\" style=\"vertical-align: -2px;\"\/>.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-202275\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-quadrilatere.jpg\" alt=\"apprendre les maths en seconde sur les vecteurs : r\u00e8gle du parall\u00e9logramme \" width=\"395\" height=\"183\" srcset=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-quadrilatere.jpg 395w, https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-quadrilatere-300x139.jpg 300w\" sizes=\"(max-width: 395px) 100vw, 395px\" \/><\/p>\n<h2>Produit d&rsquo;un vecteur par un nombre r\u00e9el<\/h2>\n<p><strong>Definition : Le vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-cf4fb79716df410ba2770197a81a2f19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"27\" style=\"vertical-align: 0px;\"\/><\/strong><\/p>\n<p>Soit <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"9\" style=\"vertical-align: 0px;\"\/> un r\u00e9el non nul et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> un vecteur non nul du plan, alors le vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-cf4fb79716df410ba2770197a81a2f19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"27\" style=\"vertical-align: 0px;\"\/> est le vecteur ayant :<\/p>\n<ul>\n<li>m\u00eame direction que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/>,<\/li>\n<li>m\u00eame sens que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> si <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7215d7048445f3a98345ee348e064959_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#62;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"\/> et de sens contraire si <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a42b04cedf3cd773e4957eb339c46fb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#60;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"42\" style=\"vertical-align: -2px;\"\/>,<\/li>\n<li><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bb105f712d7c477cd48cbec02cdaf03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#124;&#124;&#107;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#124;&#124;&#61;&#124;&#107;&#124;&#32;&#32;&#124;&#124;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#124;&#124;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"124\" style=\"vertical-align: -5px;\"\/>;<\/li>\n<\/ul>\n<p>Si <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c3180e5a60ff897b72e23b305f87b4b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"\/>, alors pour tout vecteur <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> du plan <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3a1e58065e807025a8cb56458c694eb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#32;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"67\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-202276\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-ku.jpg\" alt=\"fiche de cours en seconde de math\u00e9matique : le vecteurs ku \" width=\"216\" height=\"233\" \/><\/p>\n<p><strong>Propri\u00e9t\u00e9 :<\/strong> Pour tous vecteurs <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ff29f114bfbad46fc153b62df244ce43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> et tous nombres r\u00e9els <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\"\/> on a :<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e025f443b6edafdeec130749161236b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#40;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#32;&#43;&#32;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#41;&#61;&#97;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#32;&#43;&#32;&#97;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"179\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-56282f53e0afe266d215e3bcd04cd673_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#97;&#43;&#98;&#41;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#32;&#61;&#97;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#43;&#98;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"166\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7c29f2bcf2b369bf7b689fd9b118bdfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#40;&#98;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#32;&#41;&#61;&#32;&#40;&#97;&#98;&#41;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"120\" style=\"vertical-align: -5px;\"\/><\/p>\n<p>&nbsp;<\/p>\n<p><span data-sheets-root=\"1\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:513,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0}\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"42001\" class=\"elementor elementor-42001\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-5a97a3f4 elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"5a97a3f4\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-20851256 ae-bg-gallery-type-default\" data-id=\"20851256\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-10b4c6 elementor-widget elementor-widget-heading\" data-id=\"10b4c6\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">PARTICIPER \u00c0 UN STAGE INTENSIF EN 2nde<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6486b818 elementor-widget elementor-widget-heading\" data-id=\"6486b818\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<p class=\"elementor-heading-title elementor-size-default\">C\u2019est gagner des points  sur ta moyenne !<\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2e860c33 elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"2e860c33\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/stages\/toutes-matieres\/seconde\/france\/toutes-periodes\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_STAGE\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Stage seconde lyc\u00e9e<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-68519b0e ae-bg-gallery-type-default\" data-id=\"68519b0e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2>Vecteurs colin\u00e9aires en 2nde<\/h2>\n<ul>\n<li><strong>D\u00e9finition <\/strong><\/li>\n<\/ul>\n<p>Deux vecteurs <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ff29f114bfbad46fc153b62df244ce43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> non nuls sont dits <strong>colin\u00e9aires<\/strong> si et seulement s&rsquo;ils ont la m\u00eame direction.<\/p>\n<p>Alors il existe un r\u00e9el non nul <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"9\" style=\"vertical-align: 0px;\"\/> tel que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c540ebc9be30e8e78b99a8b3d02c3346_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#61;&#107;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"68\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><strong>Remarque<\/strong> : Le vecteur nul <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e233daa0d904f33e4de2a59d74f92c6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"17\" style=\"vertical-align: 0px;\"\/> est colin\u00e9aire \u00e0 tout vecteur puisque <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ee36b4269526839e136e0a923d8f919a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#48;&#125;&#61;&#48;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"67\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<p><strong>Th\u00e9or\u00e8me : <\/strong>Deux vecteurs non nuls <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-641e9511492a62b5bd4131bc67a7a0bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"27\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a8a7fee79da51d85a8979d97bb51b771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#67;&#68;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"29\" style=\"vertical-align: 0px;\"\/> sont colin\u00e9aires<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-32fd836c2479184a976298cc84f359f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#76;&#101;&#102;&#116;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -1px;\"\/> les droites <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-075f3749fa4dd7932001680fd1118949_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#65;&#66;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"40\" style=\"vertical-align: -5px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aa8676f10d464b78a09a4557335eeec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#67;&#68;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"41\" style=\"vertical-align: -5px;\"\/> sont parall\u00e8les<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-32fd836c2479184a976298cc84f359f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#76;&#101;&#102;&#116;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -1px;\"\/> Il existe <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-da0de69be4379353e2f02ca524f31506_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#92;&#105;&#110;&#92;&#32;&#82;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"51\" style=\"vertical-align: -1px;\"\/> tel que <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e4bca0ccfa33f27cf58bf22b4a2bad23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#61;&#107;&#92;&#44;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#67;&#68;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"93\" style=\"vertical-align: 0px;\"\/> (ou <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e4d513a78e3656f6f94ddd5a93631d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#92;&#44;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#61;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#67;&#68;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"93\" style=\"vertical-align: 0px;\"\/>)<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-202277\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-vecteurs-colineaire.jpg\" alt=\"Les vecteurs colin\u00e9aire : maths seconde\" width=\"253\" height=\"259\" \/><\/p>\n<p><strong>Exemple :<\/strong> Soient trois points <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f34f74d98915e33f37a086f8cbfb996a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> distincts non align\u00e9s.<\/p>\n<p>Les vecteurs <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-54e6b7abfa392a1fe589cfca6dca2e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ff29f114bfbad46fc153b62df244ce43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"17\" style=\"vertical-align: 0px;\"\/> sont-ils colin\u00e9aires dans les cas suivants :<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f30120ccd28accf28c2b32679c361362_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#61;&#50;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"77\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-68150a8619eacc224b482a7e54d8202c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#61;&#45;&#54;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"91\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-cafa5600fc2ce61f1fbc59b8fe487408_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#61;&#45;&#50;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#43;&#51;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#67;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"149\" style=\"vertical-align: -2px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ebb216459c24de7b4c911f413edb27f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#61;&#52;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#45;&#54;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#67;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"136\" style=\"vertical-align: 0px;\"\/><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4381e30f4cf1dd50ec4ffe7112e841e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#117;&#125;&#61;&#51;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#45;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#67;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"127\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-24eae7cdc952ff0e0e4c69e5cd449b2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#118;&#125;&#61;&#57;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;&#45;&#50;&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#67;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"136\" style=\"vertical-align: 0px;\"\/><\/p>\n<div><\/div>\n<p><strong>Propri\u00e9t\u00e9 :<\/strong> Trois points <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f34f74d98915e33f37a086f8cbfb996a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> sont align\u00e9s si et seulement si <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-641e9511492a62b5bd4131bc67a7a0bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"27\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c7d21c989f59343aa9fcb453682a9238_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#111;&#118;&#101;&#114;&#114;&#105;&#103;&#104;&#116;&#97;&#114;&#114;&#111;&#119;&#123;&#65;&#67;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"27\" style=\"vertical-align: 0px;\"\/> sont colin\u00e9aires.<\/p>\n<p>Retrouvez d&rsquo;autres cours en ligne de maths seconde sur notre site :<\/p>\n<ul>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-equations-droites-seconde\/\">R\u00e9sum\u00e9 de cours sur les \u00e9quations de droites en seconde<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-pourcentages-seconde\/\">Cours de maths sur les pourcentages pour les 2nde<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-statistiques-seconde\/\">Fiche de maths de seconde pour apprendre les statistiques<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-probabilites-seconde\/\">Cours probabilit\u00e9s en seconde<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-nombres-reels-ensembles-intervalles-seconde\/\">Cours complet sur les ensembles et les intervalles niveau seconde<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-maths-equations-droites-seconde\/\">Exercices gratuits pour r\u00e9viser les \u00e9quations de droites en seconde<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-maths-pourcentages-seconde\/\">Entrainement de maths et correction pour les 2nde g\u00e9n\u00e9rale sur les pourcentages<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Fiche de cours en maths sur les vecteurs en seconde R\u00e9sum\u00e9 de cours\u00a0Exercices et corrig\u00e9s Cours en ligne de Maths en Seconde g\u00e9n\u00e9rale Ce cours sur les vecteurs est parfait pour les secondes qui veulent se familiariser avec les bases de la g\u00e9om\u00e9trie vectorielle. Vous y apprendrez tout sur les translations, les \u00e9galit\u00e9s et les [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.2.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fiche de cours sur les vecteurs seconde<\/title>\n<meta name=\"description\" content=\"Cours sur les vecteurs pour \u00e9l\u00e8ves de seconde : apprenez les bases des vecteurs, leur manipulation et leurs applications en math\u00e9matiques.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-vecteurs-seconde\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fiche de cours sur les vecteurs seconde\" \/>\n<meta property=\"og:description\" content=\"Cours sur les vecteurs pour \u00e9l\u00e8ves de seconde : apprenez les bases des vecteurs, leur manipulation et leurs applications en math\u00e9matiques.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-vecteurs-seconde\/\" \/>\n<meta property=\"og:site_name\" content=\"Groupe R\u00e9ussite\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/\" \/>\n<meta property=\"article:modified_time\" content=\"2024-02-29T16:53:46+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2024\/02\/cours-maths-seconde-definition-vecteurs.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@GroupeReussite\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-vecteurs-seconde\/\",\"url\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-vecteurs-seconde\/\",\"name\":\"Fiche de cours sur les vecteurs seconde\",\"isPartOf\":{\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/#website\"},\"datePublished\":\"2024-02-20T15:46:37+00:00\",\"dateModified\":\"2024-02-29T16:53:46+00:00\",\"description\":\"Cours sur les vecteurs pour \u00e9l\u00e8ves de seconde : apprenez les bases des vecteurs, leur manipulation et leurs applications en math\u00e9matiques.\",\"breadcrumb\":{\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-vecteurs-seconde\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-vecteurs-seconde\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-maths-vecteurs-seconde\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/groupe-reussite.fr\/ressources\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cours de maths seconde sur le vecteurs\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/#website\",\"url\":\"https:\/\/groupe-reussite.fr\/ressources\/\",\"name\":\"Groupe R\u00e9ussite - 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