{"id":214,"date":"2023-07-11T20:48:25","date_gmt":"2023-07-11T20:48:25","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%88%d8%ad%d8%af%d8%a9-%d9%85%d9%86-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%aa%d8%ac%d9%87%d8%a7%d8%aa%d8%8c-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d8%aa%d9%85%d8%a7\/"},"modified":"2023-07-11T20:48:25","modified_gmt":"2023-07-11T20:48:25","slug":"%d9%88%d8%ad%d8%af%d8%a9-%d9%85%d9%86-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%aa%d8%ac%d9%87%d8%a7%d8%aa%d8%8c-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d8%aa%d9%85%d8%a7","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%88%d8%ad%d8%af%d8%a9-%d9%85%d9%86-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%aa%d8%ac%d9%87%d8%a7%d8%aa%d8%8c-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d8%aa%d9%85%d8%a7\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u062a\u0634\u0627\u0647\u062f \u0634\u0631\u062d \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647 \u0645\u0639 \u0635\u064a\u063a\u062a\u0647. \u0633\u062a\u062a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0648\u062d\u062f\u0629 \u0645\u0646 \u0646\u0642\u0637\u062a\u064a\u0646: \u0623\u0635\u0644\u0647\u0627 \u0648\u0646\u0647\u0627\u064a\u062a\u0647\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647 \u0645\u0646 \u0645\u0639\u0627\u0645\u0644\u0647 \u0648\u062e\u0635\u0627\u0626\u0635 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647. \u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u062a\u062f\u0631\u0628 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0648\u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-104\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-modulo-de-un-vector\"><\/span> \u0645\u0627 \u0647\u0648 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u062b\u0644 <strong>\u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647<\/strong> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0623\u0635\u0644\u0647 \u0648\u0646\u0647\u0627\u064a\u062a\u0647. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647 \u064a\u0633\u0627\u0648\u064a <strong>\u0637\u0648\u0644<\/strong> \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0630\u0643\u0648\u0631. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/module-dune-longueur-de-vecteur.webp\" alt=\"\u0645\u0639\u0627\u0645\u0644 \u0637\u0648\u0644 \u0627\u0644\u0645\u062a\u062c\u0647\" class=\"wp-image-353\" width=\"182\" height=\"179\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-105\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646 \u0641\u064a \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0623\u0639\u0644\u0627\u0647\u060c \u064a\u064f\u0631\u0645\u0632 \u0625\u0644\u0649 \u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647 \u0628\u0634\u0631\u064a\u0637 \u0639\u0645\u0648\u062f\u064a \u0639\u0644\u0649 \u0643\u0644 \u062c\u0627\u0646\u0628 \u0645\u0646 \u0627\u0644\u0645\u062a\u062c\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e7513a2086faba37053531b9addea2cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{AB}\\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 \u0647\u0648 \u0646\u0641\u0633 <strong>\u0645\u0639\u064a\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647<\/strong> \u060c \u0644\u0630\u0627 \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u062a\u0647 \u0645\u0643\u062a\u0648\u0628\u064b\u0627 \u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0623\u064a\u0636\u064b\u0627. \u0648\u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628 \u064a\u0648\u062c\u062f \u0639\u0644\u0645\u0627\u0621 \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u064a\u0645\u062b\u0644\u0648\u0646 \u0623\u064a\u0636\u064b\u0627 \u0648\u062d\u062f\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0628\u0648\u062c\u0648\u062f \u0634\u0631\u064a\u0637\u064a\u0646 \u0639\u0645\u0648\u062f\u064a\u064a\u0646 \u0639\u0644\u0649 \u0643\u0644 \u062c\u0627\u0646\u0628: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fdcec36c9625381e65a49270cd8a2331_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\lvert \\vv{AB}\\rvert\\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formula-del-modulo-de-un-vector\"><\/span> \u0635\u064a\u063a\u0629 \u0644\u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0625\u064a\u062c\u0627\u062f \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-106\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;;text-align:right;direction:rtl\">\n<p style=\"text-align:left;text-align:right;direction:rtl\"> \u0644\u062a\u062d\u062f\u064a\u062f <strong>\u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647\u060c<\/strong> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a (\u0627\u0644\u0645\u0648\u062c\u0628) \u0644\u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u0627\u062a \u0645\u0643\u0648\u0646\u0627\u062a\u0647. \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4b2f8c9cdb09377a66fbce8392c30ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} = (\\text{u}_x,\\text{u}_y)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"91\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\"text-align:left;text-align:right;direction:rtl\"> \u0648\u062d\u062f\u062a\u0647\u0627 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f63fa0a6f4110553705d4e3d6cf23692_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert \\vv{\\text{u}} \\rvert = \\sqrt{ \\text{u}_x^2+\\text{u}_y^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"117\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0648\u0641 \u0646\u062d\u0633\u0628 \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u062a\u0627\u0644\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e1f083b8e9df80dc493a280f5c20cc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} = (4,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c93cbb567f755c6f6f5ed9ddd8fce245_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert =\\sqrt{4^2+3^2} = \\sqrt{16+9}=\\sqrt{25} = \\bm{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"285\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"calcular-el-modulo-de-un-vector-con-las-coordenadas-de-su-origen-y-su-extremo\"><\/span> \u0627\u062d\u0633\u0628 \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0623\u0635\u0644\u0647 \u0648\u0646\u0647\u0627\u064a\u062a\u0647<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0639\u0646\u062f\u0645\u0627 \u0646\u0639\u0631\u0641 \u0645\u0643\u0648\u0646\u0627\u062a\u0647\u060c \u0648\u0644\u0643\u0646 \u0645\u0627\u0630\u0627 \u0633\u064a\u062d\u062f\u062b \u0625\u0630\u0627 \u0639\u0631\u0641\u0646\u0627 \u0641\u0642\u0637 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u064a\u0628\u062f\u0623 \u0645\u0646\u0647\u0627 \u0648\u0623\u064a\u0646 \u064a\u0646\u062a\u0647\u064a\u061f<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u062d\u0633\u0627\u0628 \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0645\u0646 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0623\u0635\u0644\u0647 \u0648\u0646\u0647\u0627\u064a\u062a\u0647\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u062a\u0628\u0627\u0639 \u0627\u0644\u062e\u0637\u0648\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646:<\/p>\n<ol style=\"color:#ff6f00; font-weight: bold;>\n<li><span style=;text-align:right;direction:rtl\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px;text-align:right;direction:rtl\"><span style=\"color:#000000;font-weight: normal;\">\u0623\u0648\u0644\u0627 \u0646\u062c\u062f \u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0639\u0644\u064a\u0646\u0627 \u0637\u0631\u062d \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0646\u0627\u0642\u0635 \u0646\u0642\u0637\u0629 \u0627\u0644\u0623\u0635\u0644.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u062b\u0645 \u0646\u062d\u0633\u0628 \u0648\u062d\u062f\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u064a \u0631\u0623\u064a\u0646\u0627\u0647\u0627 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \u0627\u0644\u0633\u0627\u0628\u0642.<\/span><\/li>\n<\/ol>\n<p style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u0630\u0644\u0643 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u062b\u0627\u0644:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u0623\u0635\u0644\u0647 \u0627\u0644\u0646\u0642\u0637\u0629\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a16d799fdc0fa3c371c35ba5f0f3a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u0643\u0646\u0642\u0637\u0629 \u0623\u062e\u064a\u0631\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a3a744084783890d8d12db98e82e348_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(-1,4).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062d\u062a\u0627\u062c \u0623\u0648\u0644\u064b\u0627 \u0625\u0644\u0649 \u0625\u064a\u062c\u0627\u062f \u0645\u0631\u0643\u0628\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u060c \u0644\u0630\u0627 \u0646\u0637\u0631\u062d \u0646\u0642\u0637\u0629 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0646\u0627\u0642\u0635 \u0646\u0642\u0637\u0629 \u0627\u0644\u0623\u0635\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2837e9a238c2d7143e91f36f1bdc953d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB}=B-A=(-1,4)-(2,1)=(-3,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0627\u0644\u0645\u062a\u062c\u0647\u060c \u0646\u062d\u0633\u0628 \u062d\u062c\u0645\u0647 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32da93798b33cfd623c145783850b8b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} \\vv{AB} \\end{vmatrix} =\\sqrt{(-3)^2+3^2} = \\sqrt{9+9}=\\sqrt{18}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"295\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0646\u062a\u0631\u0643 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0643\u062c\u0630\u0631 \u062a\u0631\u0628\u064a\u0639\u064a\u060c \u0644\u0623\u0646\u0647\u0627 \u0644\u064a\u0633\u062a \u062f\u0642\u064a\u0642\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"como-calcular-las-componentes-de-un-vector-a-partir-de-su-modulo\"><\/span> \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647 \u0645\u0646 \u0645\u0639\u0627\u0645\u0644\u0647 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-109\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0631\u0623\u064a\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0645\u0646 \u0645\u0643\u0648\u0646\u0627\u062a\u0647\u060c \u0648\u0644\u0643\u0646 \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0639\u0643\u0633 \u0627\u0644\u0639\u0645\u0644\u064a\u0629. \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0633\u0627\u0628 \u0645\u0631\u0643\u0628\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u0639\u0627\u0645\u0644\u0647.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0633\u0645\u0649 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647 \u0645\u0646 \u062d\u062c\u0645\u0647 <strong>\u0628\u062a\u062d\u0644\u0644 \u0627\u0644\u0645\u062a\u062c\u0647<\/strong> . \u0644\u0630\u0627\u060c \u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u062a\u062c\u0647\u060c \u0646\u062d\u062a\u0627\u062c \u0628\u0648\u0636\u0648\u062d \u0625\u0644\u0649 \u062d\u062c\u0645\u0647 \u0648\u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0634\u0643\u0644\u0647\u0627 \u0645\u0639 \u0645\u062d\u0648\u0631 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a \u0627\u0644\u0633\u064a\u0646\u064a (\u0627\u0644\u0645\u062d\u0648\u0631 X).<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u062d\u064a\u062b \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0645\u0643\u0648\u0646\u0627\u062a X \u0648 Y \u0644\u0644\u0645\u062a\u062c\u0647 \u0628\u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/decomposition-dun-vecteur-dans-matab.webp\" alt=\"\u062a\u062d\u0644\u0644 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0641\u064a \u0645\u0627\u062a\u0644\u0627\u0628\" class=\"wp-image-388\" width=\"390\" height=\"231\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646 \u0641\u064a \u0627\u0644\u0635\u0648\u0631\u0629\u060c \u0641\u0625\u0646 \u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647 \u064a\u0634\u0643\u0644 \u0645\u062b\u0644\u062b\u064b\u0627 \u0642\u0627\u0626\u0645\u064b\u0627 \u0628\u0645\u0643\u0648\u0646\u0627\u062a\u0647\u060c \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0644\u0639\u0644\u0645 \u0627\u0644\u0645\u062b\u0644\u062b\u0627\u062a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0623\u0646 \u064a\u0624\u062e\u0630 \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0623\u0646\u0647\u060c \u0639\u0644\u0649 \u0639\u0643\u0633 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647\u060c \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u0643\u0648\u0646\u0627\u062a\u0647 \u0633\u0627\u0644\u0628\u0629 \u0644\u0623\u0646 \u0627\u0644\u062c\u064a\u0628 \u0648\u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0623\u062e\u0630\u0627 \u0642\u064a\u0645\u064b\u0627 \u0633\u0627\u0644\u0628\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0646\u062d\u0644 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 \u0644\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u064a\u0643\u0648\u0646 \u0645\u0642\u062f\u0627\u0631\u0647 \u0648\u0632\u0627\u0648\u064a\u062a\u0647 \u0645\u0639 \u0627\u0644\u0645\u062d\u0648\u0631 OX:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3899abb56397b041d612a1fb9d33a70a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert = 10 \\qquad \\alpha = 60\u00ba\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"148\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0643\u0648\u0646 \u0627\u0644\u0623\u0641\u0642\u064a \u0644\u0644\u0645\u062a\u062c\u0647 \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u0648\u062d\u062f\u0629 \u0645\u0636\u0631\u0648\u0628\u0629 \u0641\u064a \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3b237fcbcb6df7294c9b2dd5d7f06cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{u}_x= \\lvert \\vv{\\text{u}}\\rvert \\cdot \\text{cos}(60\u00ba)= 10 \\cdot 0,5 = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0645\u0631\u0643\u0628 \u0627\u0644\u0631\u0623\u0633\u064a \u0644\u0644\u0645\u062a\u062c\u0647 \u064a\u0633\u0627\u0648\u064a \u0636\u0631\u0628 \u0627\u0644\u0648\u062d\u062f\u0629 \u0641\u064a \u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b2f9805cff94727a43f3bf53e78e9133_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{u}_y= \\lvert \\vv{\\text{u}}\\rvert \\cdot \\text{sen}(60\u00ba)= 10 \\cdot 0,87 = 8,7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"268\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u062c\u0647 \u0647\u0648 \u0643\u0645\u0627 \u064a\u0644\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8137f59704bc3ee0eabf752d669ce25d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\mathbf{u}}\\bm{ = (5 \\ ,\\ 8,7)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"propiedades-del-modulo-de-un-vector\"><\/span> \u062e\u0635\u0627\u0626\u0635 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0639\u0627\u0645\u0644 \u0647\u0648 \u0646\u0648\u0639 \u0645\u0646 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062a\u064a \u0644\u0647\u0627 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647 \u0633\u0627\u0644\u0628\u064b\u0627 \u0623\u0628\u062f\u064b\u0627<\/strong> \u060c \u0628\u0644 \u0633\u064a\u0643\u0648\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0645\u0633\u0627\u0648\u064a\u064b\u0627 \u0623\u0648 \u0623\u0643\u0628\u0631 \u0645\u0646 0.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-923d73a359ab40f1ffaba643bff0ca98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert \\geq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"50\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u064a\u062f \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0628\u062d\u062c\u0645 \u0635\u0641\u0631 \u0647\u0648 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0635\u0641\u0631\u064a\u060c \u0623\u064a \u0627\u0644\u0645\u062a\u062c\u0647<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3fbfff66ff910ebae6196cf59b4251eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}= (0,0) .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062d\u062c\u0645 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0645\u062a\u062c\u0647 \u0628\u0639\u062f\u062f \u062d\u0642\u064a\u0642\u064a (\u0623\u0648 \u0639\u062f\u062f\u064a) \u064a\u0639\u0627\u062f\u0644 \u0636\u0631\u0628 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0637\u0644\u0642\u0629 \u0644\u0644\u0639\u062f\u062f \u0641\u064a \u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647. \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u062a\u062a\u062d\u0642\u0642:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c814e6a42f23a1c1ab2c413261fa3d16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert k \\cdot \\vv{\\text{u}} \\rvert = \\lvert k  \\rvert \\cdot \\lvert \\vv{\\text{u}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062a\u0645 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 <strong>\u0639\u062f\u0645 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629<\/strong> : \u0645\u0639\u0627\u0645\u0644 \u0645\u062c\u0645\u0648\u0639 \u0645\u062a\u062c\u0647\u064a\u0646 \u0623\u0642\u0644 \u0645\u0646 \u0623\u0648 \u064a\u0633\u0627\u0648\u064a \u0645\u062c\u0645\u0648\u0639 \u0648\u062d\u062f\u0627\u062a\u0647\u0645\u0627 \u0628\u0634\u0643\u0644 \u0645\u0646\u0641\u0635\u0644.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-63e1eae823666827bce2c51133a8a49b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}}+\\vv{\\text{v}} \\rvert \\leq \\lvert\\vv{\\text{u}} \\rvert+\\lvert\\vv{\\text{v}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0631\u062a\u0628\u0637 \u0645\u0642\u062f\u0627\u0631 \u0645\u062c\u0645\u0648\u0639 \u0645\u062a\u062c\u0647\u064a\u0646 \u0628\u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0646\u0642\u0637\u064a \u0628\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a16809d6f89f2053f5c732a7acd486ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}}+\\vv{\\text{v}} \\rvert = \\sqrt{\\lvert \\vv{\\text{u}} \\rvert ^2+\\lvert \\vv{\\text{v}} \\rvert ^2 +2\\cdot \\vv{\\text{u}}\\cdot \\vv{\\text{v}} \\vphantom{\\sqrt{x^2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"242\" style=\"vertical-align: -9px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"vector-unitario\"><\/span> \u062d\u062a\u0649 \u0627\u0644\u0646\u0635\u0631<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c <strong>\u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629<\/strong> \u0647\u0648 \u0645\u062a\u062c\u0647 \u0645\u0639\u0627\u0645\u0644\u0647 \u064a\u0633\u0627\u0648\u064a \u0648\u0627\u062d\u062f\u064b\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d377140c532b698d7cdb3b180f2b7e11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\rvert=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"49\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0637\u0648\u0644 \u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629 \u0647\u0648 \u0648\u062d\u062f\u0629 \u0648\u0627\u062d\u062f\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0642\u062f \u064a\u0628\u062f\u0648 \u0645\u0646 \u0627\u0644\u0635\u0639\u0628 \u062c\u062f\u064b\u0627 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0644\u0644\u0645\u062a\u062c\u0647 \u0645\u0639\u0627\u0645\u0644 \u064a\u0633\u0627\u0648\u064a 1 \u0628\u0627\u0644\u0636\u0628\u0637\u060c \u0648\u0644\u0643\u0646 \u0645\u0646 \u0627\u0644\u0633\u0647\u0644 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a: <\/p>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;;text-align:right;direction:rtl\">\n<p style=\"text-align:left;text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629 \u0644\u0623\u064a \u0645\u062a\u062c\u0647\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u0642\u0633\u0645\u062a\u0647 \u0639\u0644\u0649 \u0645\u0639\u0627\u0645\u0644\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1b8ce39ff18883208f914f48d4463051_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_u = \\cfrac{\\vv{\\text{v}}}{\\lvert \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"64\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"text-align:left;text-align:right;direction:rtl\"> \u0630\u0647\u0628<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62e58ce540d042ffd138cfec23ebac58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_u\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0647\u0648 \u0646\u0627\u0642\u0644 \u0627\u0644\u0648\u062d\u062f\u0629 \u0644<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d6a20023310ef9d6c49931c265af1ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}},\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a59cd4f2581db3318d38a2a77340a64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0627\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u0646\u0645\u0637\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0643.<\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0633\u0645\u0649 \u0646\u0627\u0642\u0644 \u0627\u0644\u0648\u062d\u062f\u0629 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0644\u0646\u0627\u0642\u0644 \u0623\u0648 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0637\u0628\u064a\u0639\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629 \u0644\u0647 \u0646\u0641\u0633 \u0627\u062a\u062c\u0627\u0647 \u0648\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0623\u0635\u0644\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0648\u0641 \u0646\u0642\u0648\u0645 \u0628\u062d\u0633\u0627\u0628 \u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629 \u0644\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-06fc528ca9d541ea032c50af916549a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}=(1,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"86\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062a\u0637\u0628\u064a\u0639 \u0627\u0644\u0645\u062a\u062c\u0647\u060c \u0646\u062d\u062a\u0627\u062c \u0623\u0648\u0644\u0627\u064b \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u062d\u062c\u0645\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-86ef7a2aa2d0201e764e4868b473b3e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}} \\rvert=\\sqrt{1^2+(-1)^2} = \\sqrt{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"188\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062d\u0633\u0628 \u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0642\u0633\u0645\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0623\u0635\u0644\u064a \u0639\u0644\u0649 \u0645\u0639\u0627\u0645\u0644\u0647: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-668d60d54811f2fd2be96dd0180563ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vv{\\text{v}}_u = \\cfrac{\\vv{\\text{v}}}{\\lvert \\vv{\\text{v}} \\rvert} = \\frac{(1,-1)}{\\sqrt{2}}= \\bm{\\left(\\frac{1}{\\sqrt{2}},-\\frac{1}{\\sqrt{2}} \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"267\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-modulos-de-vectores\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0648\u062d\u062f\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-78feb0de1149c92d8000673c3bd9c750_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a}=(6,8)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0648\u062d\u062f\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u062a\u0647: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2223831dac0e96dc39b2c1f575a96656_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert\\vv{a} \\rvert= \\sqrt{6^2+8^2} =\\sqrt{36+64} = \\sqrt{100} = \\bm{10}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"313\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0631\u062a\u0651\u0628 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u0646 \u0627\u0644\u0623\u0642\u0635\u0631 \u0625\u0644\u0649 \u0627\u0644\u0623\u0637\u0648\u0644. <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0cd5b4cce27e3e747335f1b83a27ea14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a}=(4,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"86\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9528dc0e7c4fdec1f5ea0897cb5f1080_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{b}=(3,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d3d0c1b4ab12a00987c3821811108881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{c}=(5,12)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9611ddc072acda8752bf9cf38687c790_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{d}=(-6,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0637\u0648\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 \u064a\u0633\u0627\u0648\u064a \u062d\u062c\u0645\u0647. \u0648\u0644\u0630\u0644\u0643\u060c \u0646\u062d\u0646 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f774b05c948e7cc2648508e840bec8d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\vv{a}\\right|= \\sqrt{4^2+(-2)^2} =\\sqrt{16+4} = \\sqrt{20}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"284\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-26f7996534e539a7c403a494276e9b43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\vv{b}|= \\sqrt{3^2+1^2} =\\sqrt{9+1} = \\sqrt{10}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"243\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41d80256e32169ae228c30631ed6a7c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix}\\vv{c}\\end{vmatrix}= \\sqrt{5^2+12^2} =\\sqrt{25+144} = \\sqrt{169} = 13\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"331\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8d50ea2580fbf8d44a19147ea34b730_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\vv{d}| = \\sqrt{(-6)^2+(-3)^2} =\\sqrt{36+9} = \\sqrt{45}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"311\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0645\u0631\u062a\u0628\u0629 \u0645\u0646 \u0627\u0644\u0623\u0635\u063a\u0631 \u0625\u0644\u0649 \u0627\u0644\u0623\u0643\u0628\u0631 \u0641\u064a \u0627\u0644\u0637\u0648\u0644 (\u0623\u0648 \u0627\u0644\u0648\u062d\u062f\u0629) \u0647\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e3ca300d8666eb94fd4ddd22088e00a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\vv{b}|< \\begin{vmatrix}\\vv{a}\\end{vmatrix} < |\\vv{d}| < \\begin{vmatrix}\\vv{c}\\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"144\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062f\u064a\u062f \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u0623\u0635\u0644\u0647 \u0647\u0648 \u0627\u0644\u0646\u0642\u0637\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4fa493d9071a18cc176e19c8aeda71e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(-3,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u0643\u0646\u0642\u0637\u0629 \u0623\u062e\u064a\u0631\u0629 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7da7d69ba3de7c0a400c5739021b3ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(7,-4).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u0646\u0645\u0637\u064a\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647\u0627\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0623\u0648\u0644\u0627\u064b \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u062a\u062c\u0647. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0637\u0631\u062d \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0646\u0627\u0642\u0635 \u0627\u0644\u0623\u0635\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-237f500f255108fb2f6673bdf1ac0c88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB}=B-A=(7,-4)-(-3,2)=(10,-6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"337\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u0645\u0644\u0647 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0642\u064a\u0627\u0633: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4c92f7a1361051e25fa90e0ed878a676_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} \\vv{AB} \\end{vmatrix} =\\sqrt{10^2+(-6)^2} = \\sqrt{100+36}=\\bm{\\sqrt{136}}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"340\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0642\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u062a\u0627\u0644\u064a \u0648\u0627\u0628\u062d\u062b \u0639\u0646 \u0645\u0643\u0648\u0646\u0627\u062a\u0647: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-992e1cdc6a75b8bdfe860c97dc9911e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{a} \\rvert =8 \\qquad \\alpha = 45\u00ba\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0643\u0648\u0646 \u0627\u0644\u0623\u0641\u0642\u064a \u0644\u0644\u0645\u062a\u062c\u0647 \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u0648\u062d\u062f\u0629 \u0645\u0636\u0631\u0648\u0628\u0629 \u0641\u064a \u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33aa199d1341f57e7a85abaa3c261a91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_x= \\lvert \\vv{a}\\rvert \\cdot \\text{cos}(45\u00ba)= 8 \\cdot 0,71 = 5,66\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"267\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0645\u0631\u0643\u0628 \u0627\u0644\u0631\u0623\u0633\u064a \u0644\u0644\u0645\u062a\u062c\u0647 \u064a\u0633\u0627\u0648\u064a \u0636\u0631\u0628 \u0627\u0644\u0648\u062d\u062f\u0629 \u0641\u064a \u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-269cf4eed12832856838538f0a314aaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_y= \\lvert \\vv{a}\\rvert \\cdot \\text{sen}(45\u00ba)= 8 \\cdot 0,71 = 5,66\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"267\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u062c\u0647 \u0647\u0648 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b9a4b542b5e7893c3da383ffa65a133b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\mathbf{u}}\\bm{ = (5,66 \\ ,\\ 5,66)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"132\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u0646 \u0645\u062a\u0637\u0627\u0628\u0642\u0627\u0646\u060c \u0623\u064a \u0623\u0646 \u0632\u0627\u0648\u064a\u0629 \u0645\u064a\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 \u0647\u064a 45 \u062f\u0631\u062c\u0629.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 5<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u0645\u062a\u062c\u0647 \u0628\u0646\u0641\u0633 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0645\u062b\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u062a\u0627\u0644\u064a \u0648\u0644\u0643\u0646 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0648\u062d\u062f\u0629 1. <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-764894932cc153ee326360c077c75ec9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a} = (-4,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u0644\u0647 \u0646\u0641\u0633 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0646\u0641\u0633 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0644\u0643\u0646 \u0645\u0639 \u0627\u0644\u0648\u062d\u062f\u0629 1 \u0647\u0648 \u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629. \u0644\u062d\u0633\u0627\u0628\u0647\u0627\u060c \u0646\u062c\u062f \u0623\u0648\u0644\u0627\u064b \u0648\u062d\u062f\u0629 \u0627\u0644\u0645\u062a\u062c\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d067857f68bb43d3ee3693466272cc36_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{a} \\rvert=\\sqrt{(-4)^2+3^2} = \\sqrt{16+9} = \\sqrt{25} = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"315\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0642\u0633\u0645\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0623\u0635\u0644\u064a \u0639\u0644\u0649 \u0645\u0639\u0627\u0645\u0644\u0647: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff7322f3b35f78c5e151f4e7dc59eb98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vv{a}_u = \\cfrac{\\vv{a}}{\\lvert \\vv{a} \\rvert} = \\frac{(-4,3)}{5}= \\bm{\\left(-\\frac{4}{5},\\frac{3}{5} \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"238\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 6<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0642\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u062a\u0627\u0644\u064a \u0628\u0634\u0643\u0644 \u0645\u062a\u062c\u0647\u064a \u0648\u0627\u062d\u0633\u0628 \u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u062e\u0627\u0635 \u0628\u0647: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-305f67adc42d0194ae1c8bbca09484a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{a} \\rvert =6 \\qquad \\alpha = 20\u00ba\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u0627\u064b\u060c \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 \u0648\u0625\u064a\u062c\u0627\u062f \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a\u0647: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-425294f0e8b14e63cf0d59c6fa95f367_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_x= \\lvert \\vv{a}\\rvert \\cdot \\text{cos}(20\u00ba)= 6 \\cdot 0,94 = 5,64\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"267\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a795bfcb22419526d23f6d0ff419fdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_y= \\lvert \\vv{a}\\rvert \\cdot \\text{sen}(20\u00ba)= 6 \\cdot 0,34 = 2,05\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"266\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u062c\u0647 \u0647\u0648 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-abc6fa01a5b562627b05dc37ad7f59d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{a}= (5,64 \\ ,\\ 2,05)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0642\u0633\u0645\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647 \u0628\u0648\u0627\u0633\u0637\u0629 \u0648\u062d\u062f\u062a\u0647:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-287411b8f47ca842a6db2cbe1c9a6ece_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vv{a}_u = \\cfrac{\\vv{a}}{\\lvert \\vv{a} \\rvert} = \\frac{(5,64 \\ ,\\ 2,05)}{6}= \\bm{(0,94 \\ , \\ 0,34) }\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"318\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062d\u0638 \u0623\u0646 \u0645\u0643\u0648\u0646\u0627\u062a \u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u062d\u062f\u0629 \u062a\u0633\u0627\u0648\u064a \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0648\u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0634\u0643\u0644\u0647\u0627 \u0645\u0639 \u0627\u0644\u0645\u062d\u0648\u0631 X.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u062a\u0634\u0627\u0647\u062f \u0634\u0631\u062d \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647 \u0645\u0639 \u0635\u064a\u063a\u062a\u0647. \u0633\u062a\u062a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0648\u062d\u062f\u0629 \u0645\u0646 \u0646\u0642\u0637\u062a\u064a\u0646: \u0623\u0635\u0644\u0647\u0627 \u0648\u0646\u0647\u0627\u064a\u062a\u0647\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647 \u0645\u0646 \u0645\u0639\u0627\u0645\u0644\u0647 \u0648\u062e\u0635\u0627\u0626\u0635 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647. \u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u062a\u062f\u0631\u0628 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0648\u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0645\u0627 \u0647\u0648 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647\u061f \u064a\u0645\u062b\u0644 \u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%88%d8%ad%d8%af%d8%a9-%d9%85%d9%86-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%aa%d8%ac%d9%87%d8%a7%d8%aa%d8%8c-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d8%a7%d9%84%d8%aa%d9%85%d8%a7\/\"> <span class=\"screen-reader-text\">\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[21],"tags":[],"class_list":["post-214","post","type-post","status-publish","format-standard","hentry","category-21"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ar\/\u0648\u062d\u062f\u0629-\u0645\u0646-\u0635\u064a\u063a\u0629-\u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a\u060c-\u0623\u0645\u062b\u0644\u0629-\u0639\u0644\u0649-\u0627\u0644\u062a\u0645\u0627\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 - Mathority\" \/>\n<meta property=\"og:description\" content=\"\u0641\u064a \u0647\u0630\u0647 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\u0648\u062e\u0635\u0627\u0626\u0635 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647. \u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u062a\u062f\u0631\u0628 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0648\u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0645\u0627 \u0647\u0648 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647\u061f \u064a\u0645\u062b\u0644 \u062d\u062c\u0645 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 &hellip; \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u062a\u062c\u0647 \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;\" \/>\n<meta property=\"og:url\" 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