{"id":224,"date":"2023-07-11T03:30:24","date_gmt":"2023-07-11T03:30:24","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%b5%d9%8a%d8%ba%d8%a9-%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a9-%d8%a7%d9%84%d9%85%d8%aa%d8%ac%d9%87%d8%a7%d8%aa-%d9%84%d9%84%d8%ae%d8%b7\/"},"modified":"2023-07-11T03:30:24","modified_gmt":"2023-07-11T03:30:24","slug":"%d8%b5%d9%8a%d8%ba%d8%a9-%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a9-%d8%a7%d9%84%d9%85%d8%aa%d8%ac%d9%87%d8%a7%d8%aa-%d9%84%d9%84%d8%ae%d8%b7","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%b5%d9%8a%d8%ba%d8%a9-%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a9-%d8%a7%d9%84%d9%85%d8%aa%d8%ac%d9%87%d8%a7%d8%aa-%d9%84%d9%84%d8%ae%d8%b7\/","title":{"rendered":"\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u062e\u0637"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u062e\u0637. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627. \u0648\u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0623\u064a\u0636\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u0642\u0627\u0637 \u0627\u0644\u062e\u0637 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u062a\u0647 \u0627\u0644\u0645\u062a\u062c\u0647\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-la-ecuacion-vectorial-de-la-recta\"><\/span> \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u062e\u0637\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0644\u062e\u0637 \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u062a\u062a\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0645\u062b\u0644\u0629 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0628\u062f\u0648\u0646 \u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0623\u0648 \u0632\u0648\u0627\u064a\u0627. <\/p>\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\"> \u0644\u0630\u0627\u060c \u0641\u0625\u0646 <strong>\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u062a\u062c\u0647<\/strong> \u0647\u064a \u0637\u0631\u064a\u0642\u0629 \u0644\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0623\u064a \u062e\u0637 \u0631\u064a\u0627\u0636\u064a\u064b\u0627. \u0648\u0644\u0647\u0630\u0627 \u0643\u0644 \u0645\u0627 \u0646\u062d\u062a\u0627\u062c\u0647 \u0647\u0648 \u0646\u0642\u0637\u0629 \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0627\u0644\u062e\u0637 \u0648\u0645\u062a\u062c\u0647 \u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u062e\u0637. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-se-calcula-la-ecuacion-vectorial-de-la-recta\"><\/span> \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u062e\u0637\u061f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; 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\"> \u0646\u0639\u0645<\/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-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637 \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646:<\/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-798c10bf651dde568bef6722fc25cef6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (\\text{v}_1,\\text{v}_2) \\qquad P(P_1,P_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"197\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left;text-align:right;direction:rtl\"> \u0635\u064a\u063a\u0629 <strong>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0629 \u0644\u0644\u062e\u0637<\/strong> \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-16e43c9d65f7fae5b0e20a3caca1df38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y)=(P_1,P_2)+t\\cdot (\\text{v}_1,\\text{v}_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"219\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left; margin-bottom:4px;;text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li 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-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/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-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0647\u064a \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a\u0629 \u0644\u0623\u064a \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637.<\/li>\n<li 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-d38a31ec1eb0a45c9ee8e1b143e3b4b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -3px;\"><\/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-2c78cc5579163a0956b9462599d75b1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0647\u064a \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0646\u0642\u0637\u0629 \u0645\u0639\u0631\u0648\u0641\u0629 \u062a\u0634\u0643\u0644 \u062c\u0632\u0621\u064b\u0627 \u0645\u0646 \u0627\u0644\u062e\u0637.<\/li>\n<li 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-16a61eafb9e0a7b88b98a7fffd74c09e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{v}_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/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-43a68c72834dd1643b28f72554b27956_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{v}_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0647\u064a \u0645\u0643\u0648\u0646\u0627\u062a \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637.<\/li>\n<li 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-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u0639\u062f\u062f\u064a (\u0639\u062f\u062f \u062d\u0642\u064a\u0642\u064a) \u062a\u0639\u062a\u0645\u062f \u0642\u064a\u0645\u062a\u0647 \u0639\u0644\u0649 \u0643\u0644 \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u0633\u0637\u0631. <\/li>\n<\/ul>\n<\/div>\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 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\/equations-de-la-droite-1.webp\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u062e\u0637 4 \u0627\u0644\u0630\u064a\" class=\"wp-image-1304\" width=\"281\" height=\"268\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0646\u0647\u0627 \u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u062e\u0637 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0623\u064a \u0639\u0646\u062f \u0627\u0644\u0639\u0645\u0644 \u0645\u0639 \u0646\u0642\u0627\u0637 \u0648\u0645\u062a\u062c\u0647\u0627\u062a \u0625\u062d\u062f\u0627\u062b\u064a\u062a\u064a\u0646 (\u0641\u064a R2). \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0646\u0627 \u0646\u062c\u0631\u064a \u062d\u0633\u0627\u0628\u0627\u062a \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0641\u064a R3)\u060c \u0641\u0633\u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u0625\u0636\u0627\u0641\u0629 \u0639\u0646\u0635\u0631 \u0625\u0636\u0627\u0641\u064a \u0625\u0644\u0649 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637:<\/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-3ef53596406b2fe36258a0421c91336b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(P_1,P_2,P_3)+t\\cdot (\\text{v}_1,\\text{v}_2,\\text{v}_3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"288\" 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 \u0636\u0639 \u0641\u064a \u0627\u0639\u062a\u0628\u0627\u0631\u0643 \u0623\u0646\u0647 \u0628\u0635\u0631\u0641 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629\u060c \u0647\u0646\u0627\u0643 \u0637\u0631\u0642 \u0623\u062e\u0631\u0649 \u0644\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u062e\u0637 \u062a\u062d\u0644\u064a\u0644\u064a\u064b\u0627: \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629\u060c \u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629\u060c \u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0639\u0627\u0645\u0629)\u060c \u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0635\u0631\u064a\u062d\u0629\u060c \u0648\u0645\u0639\u0627\u062f\u0644\u0629 \u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u064a\u0644 \u0644\u0644\u062e\u0637 . \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u062c\u0645\u064a\u0639 <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a-\u0627\u0644\u062e\u0637\u064a\u0629-\u062c\u0645\u064a\u0639-\u0627\u0644\u0635\u064a\u063a-\u0648\u0627\u0644\u0627\u0654\u0645\u062b\u0644\u0629-\u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646-\u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629\/\">\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u0633\u0637\u0631<\/a> \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0631\u0627\u0628\u0637. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-ecuacion-vectorial-de-la-recta\"><\/span> \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u062e\u0637 <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\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u062a\u062c\u0647 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062b\u0627\u0644:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0643\u062a\u0628 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0644\u0644\u062e\u0637 \u0627\u0644\u0630\u064a \u064a\u0645\u0631 \u0628\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-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0644\u062f\u064a\u0647<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0643\u0645\u062a\u062c\u0647 \u062a\u0648\u062c\u064a\u0647\u064a:<\/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-c4f245fcb7cc0cea584213b379d0cc63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (1,2) \\qquad P(3,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"160\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u062e\u0637\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u062a\u0647\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-16e43c9d65f7fae5b0e20a3caca1df38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y)=(P_1,P_2)+t\\cdot (\\text{v}_1,\\text{v}_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"219\" 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-d4d382959b5006597c30376b200d167f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y)=(3,0)+t\\cdot (1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"183\" 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=\"obtener-puntos-a-partir-de-la-ecuacion-vectorial-de-la-recta\"><\/span> \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u0642\u0627\u0637 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u062e\u0637<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0629 \u0644\u0644\u062e\u0637\u060c \u064a\u0635\u0628\u062d \u0645\u0646 \u0627\u0644\u0633\u0647\u0644 \u062c\u062f\u064b\u0627 \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u064a\u0645\u0631 \u0639\u0628\u0631\u0647\u0627 \u0627\u0644\u062e\u0637. \u0644\u062a\u062d\u062f\u064a\u062f \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637 <strong>\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u0625\u0639\u0637\u0627\u0621 \u0642\u064a\u0645\u0629 \u0644\u0644\u0645\u0639\u0644\u0645\u0629<\/strong><\/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-50d6971192a73f12b183dbddd7c75197_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{t}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u062e\u0637.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0644\u062e\u0637:<\/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-cd6dd1a3c3a001280f7fc7d94713c2ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y)=(1,-1)+t\\cdot (2,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"196\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062a\u0633\u062c\u064a\u0644 \u0646\u0642\u0637\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0627\u0633\u062a\u0628\u062f\u0627\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-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u0623\u064a \u0631\u0642\u0645 \u0645\u062b\u0644\u0627<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1723333cf1be89f8646b303471646921_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t=1:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/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-81a04a05d8ea6730567685bff8148959_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(x,y)&amp; =(1,-1)+1\\cdot (2,3)\\\\[2ex] &amp; =(1,-1)+(2,3) \\\\[2ex] &amp; = (1+2 \\ , -1+3) \\\\[2ex] &amp; = \\bm{(3,2)} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"145\" width=\"199\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0633\u0627\u0628 \u0646\u0642\u0637\u0629 \u0623\u062e\u0631\u0649 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637\u060c \u0645\u0645\u0627 \u064a\u0639\u0637\u064a\u0646\u0627 \u0627\u0644\u0645\u062c\u0647\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-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0631\u0642\u0645 \u0645\u062e\u062a\u0644\u0641 \u0645\u062b\u0644\u0627<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4a6ff8890aca4d4d4f6d560faae50d3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t=2:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/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-70cfec547c993eddfea11d50bef03bae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(x,y)&amp; =(1,-1)+2\\cdot (2,3)\\\\[2ex] &amp; =(1,-1)+(4,6) \\\\[2ex] &amp; = (1+4 \\ , -1+6) \\\\[2ex] &amp; = \\bm{(5,5)} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"145\" width=\"199\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0639\u062f\u062f \u0644\u0627 \u0646\u0647\u0627\u0626\u064a \u0645\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637\u060c \u0644\u0623\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631<\/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-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0623\u062e\u0630 \u0642\u064a\u0645\u064b\u0627 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-ecuacion-vectorial-de-la-recta\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u062e\u0637<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\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0629 \u0644\u0644\u062e\u0637 \u0627\u0644\u0630\u064a \u064a\u0645\u0631 \u0628\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-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0645\u0646 \u0647\u0648 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80c361259467f8dee47e246c764ef897_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"18\" style=\"vertical-align: 0px;\"><\/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-b5adb01b1c1b8426314e6158a3ad6ff9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-1,3) \\qquad \\vv{\\text{v}}=(4,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"188\" 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\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u062e\u0637\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u062a\u0647\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-16e43c9d65f7fae5b0e20a3caca1df38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y)=(P_1,P_2)+t\\cdot (\\text{v}_1,\\text{v}_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"219\" 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-db734ce476b56a89bd305a06648b08d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y)=(-1,3)+t\\cdot (4,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"210\" 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\"> \u0627\u062d\u0633\u0628 \u062b\u0644\u0627\u062b \u0646\u0642\u0627\u0637 \u062a\u0642\u0639 \u0639\u0644\u0649 \u0627\u0644\u0633\u0637\u0631 \u0645\u0646 \u0627\u0644\u0645\u0633\u0623\u0644\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629. <\/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\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u0642\u0627\u0637 \u0645\u0646 \u062e\u0637 \u0645\u0648\u0635\u0648\u0641 \u0628\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629\u060c \u064a\u062c\u0628 \u0625\u0639\u0637\u0627\u0621 \u0642\u064a\u0645 \u0644\u0644\u0645\u0639\u0644\u0645\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-4998f61a094184afa02f41dd4ab518c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0627\u0644\u0645\u062d\u0633\u0648\u0628\u0629 \u0641\u064a \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\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-db734ce476b56a89bd305a06648b08d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y)=(-1,3)+t\\cdot (4,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"210\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0646\u0642\u0637\u0629 \u0646\u0639\u0648\u0636 \u0628\u0627\u0644\u0645\u062c\u0647\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-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 \u0628\u0648\u0627\u0633\u0637\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1723333cf1be89f8646b303471646921_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t=1:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/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-36452411cca47b72db95b2876b03f69d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(x,y)&amp; =(-1,3)+1\\cdot (4,-2)\\\\[2ex] &amp; =(-1,3)+ (4,-2) \\\\[2ex] &amp; = (-1+4 \\ , 3-2) \\\\[2ex] &amp; = \\bm{(3,1)} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"145\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0646\u0639\u0637\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-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 \u0642\u064a\u0645\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4a6ff8890aca4d4d4f6d560faae50d3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t=2:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/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-5a5fe3c08ab62695f62cf76df97aac2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(x,y)&amp; =(-1,3)+2\\cdot (4,-2)\\\\[2ex] &amp; =(-1,3)+ (8,-4) \\\\[2ex] &amp; = (-1+8 \\ , 3-4) \\\\[2ex] &amp; = \\bm{(7,-1)} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"145\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u062a\u0639\u064a\u064a\u0646<\/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-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0642\u064a\u0645\u0629 \u0627\u0644<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-063c366f7c1d1f7a8a92c459c8c495d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t=3:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/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-9710aef8527fc6c53d21109ea01a1b6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(x,y)&amp; =(-1,3)+3\\cdot (4,-2)\\\\[2ex] &amp; =(-1,3)+ (12,-6) \\\\[2ex] &amp; = (-1+12 \\ , 3-6) \\\\[2ex] &amp; = \\bm{(11,-3)} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"145\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0631\u0628\u0645\u0627 \u062a\u0643\u0648\u0646 \u0642\u062f \u062d\u0635\u0644\u062a \u0639\u0644\u0649 \u0646\u0642\u0627\u0637 \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0644\u0623\u0646 \u0630\u0644\u0643 \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u0639\u0637\u064a\u0647\u0627 \u0644\u0644\u0645\u0639\u0644\u0645\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-4998f61a094184afa02f41dd4ab518c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648\u0644\u0643\u0646 \u0625\u0630\u0627 \u0627\u062a\u0628\u0639\u062a \u0646\u0641\u0633 \u0627\u0644\u0625\u062c\u0631\u0627\u0621\u060c \u0641\u0643\u0644 \u0634\u064a\u0621 \u0639\u0644\u0649 \u0645\u0627 \u064a\u0631\u0627\u0645.<\/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\"> \u0623\u0648 \u0646\u0642\u0637\u062a\u064a\u0646:<\/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-39e1ccbebf7e7d41e0c9bc87567a83c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(5,1) \\qquad B(3,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0629 \u0644\u0644\u062e\u0637 \u0627\u0644\u0630\u064a \u064a\u0645\u0631 \u0639\u0628\u0631 \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646. <\/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\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0644\u064a\u0633 \u0644\u062f\u064a\u0646\u0627 \u0645\u062a\u062c\u0647 \u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u062e\u0637\u060c \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u064b\u0627 \u0625\u064a\u062c\u0627\u062f \u0645\u062a\u062c\u0647 \u0627\u062a\u062c\u0627\u0647\u0647 \u062b\u0645 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u062d\u062f\u062f \u0628\u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0627\u0644\u0645\u0639\u0637\u0627\u062a\u064a\u0646:<\/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-2ef2698c8dcca35e09a5fbbb3c07bdcf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB}=B-A= (3,-2)- (5,1) = (-2,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0628\u0627\u0644\u0641\u0639\u0644 \u0627\u062a\u062c\u0627\u0647 \u0645\u062a\u062c\u0647 \u0627\u0644\u062e\u0637\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u062d\u062f\u064a\u062f \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0645\u0646 \u0625\u062d\u062f\u0649 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0639\u0637\u0627\u0629 \u0648\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-16e43c9d65f7fae5b0e20a3caca1df38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y)=(P_1,P_2)+t\\cdot (\\text{v}_1,\\text{v}_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"219\" 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-68960ac44d082e7f07e54f954e16ac41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y)=(5,1)+t\\cdot (-2,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"210\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u064a\u0647\u0627 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0648\u0636\u0639 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0623\u062e\u0631\u0649 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629 \u0635\u0627\u0644\u062d\u0629 \u0623\u064a\u0636\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-a3931a59d4987a867d7e380fe782df9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y)=(3,-2)+t\\cdot (-2,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"224\" 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","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u062e\u0637. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627. \u0648\u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0623\u064a\u0636\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u0642\u0627\u0637 \u0627\u0644\u062e\u0637 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u062a\u0647 \u0627\u0644\u0645\u062a\u062c\u0647\u0629. \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u062e\u0637\u061f \u062a\u0630\u0643\u0631 \u0623\u0646 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0644\u062e\u0637 \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u062a\u062a\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0645\u062b\u0644\u0629 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0628\u062f\u0648\u0646 &hellip;<\/p>\n<p class=\"read-more\"> <a 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