{"id":235,"date":"2023-07-10T20:04:36","date_gmt":"2023-07-10T20:04:36","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d0%b5%d1%80%d0%bf%d0%b5%d0%bd%d0%b4%d0%b8%d0%ba%d1%83%d0%bb%d1%8f%d1%80%d0%bd%d1%8b%d1%85-%d0%bb%d0%b8%d0%bd%d0%b8%d0%b8\/"},"modified":"2023-07-10T20:04:36","modified_gmt":"2023-07-10T20:04:36","slug":"%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d0%b5%d1%80%d0%bf%d0%b5%d0%bd%d0%b4%d0%b8%d0%ba%d1%83%d0%bb%d1%8f%d1%80%d0%bd%d1%8b%d1%85-%d0%bb%d0%b8%d0%bd%d0%b8%d0%b8","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d0%b5%d1%80%d0%bf%d0%b5%d0%bd%d0%b4%d0%b8%d0%ba%d1%83%d0%bb%d1%8f%d1%80%d0%bd%d1%8b%d1%85-%d0%bb%d0%b8%d0%bd%d0%b8%d0%b8\/","title":{"rendered":"\u041f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438 (\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0441\u0442\u044c)"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043b\u0438\u043d\u0438\u044f\u0445: \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435, \u043a\u043e\u0433\u0434\u0430 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e \u0434\u0440\u0443\u0433\u043e\u0439, \u0435\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430&#8230; \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0430 \u0441 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438, \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-dos-rectas-perpendiculares\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u0432\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043f\u0440\u044f\u043c\u044b\u0435?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 <strong>\u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u0441\u0447\u0438\u0442\u0430\u044e\u0442\u0441\u044f \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u043c\u0438, \u0435\u0441\u043b\u0438 \u043e\u043d\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u0432 \u0442\u043e\u0447\u043a\u0435, \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0435\u0439 \u0447\u0435\u0442\u044b\u0440\u0435 \u0440\u0430\u0432\u043d\u044b\u0445 \u043f\u0440\u044f\u043c\u044b\u0445 \u0443\u0433\u043b\u0430 (90\u00b0).<\/strong> <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-perpendiculaires-a-90-degres.webp\" alt=\"\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043b\u0438\u043d\u0438\u0439\" class=\"wp-image-1884\" width=\"189\" height=\"215\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u0435\u043a\u0442\u043e\u0440\u044b \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043f\u0440\u044f\u043c\u044b\u0445 \u0442\u0430\u043a\u0436\u0435 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b.<\/p>\n<p> \u041f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0441\u0442\u044c \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439 \u043e\u0431\u044b\u0447\u043d\u043e \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442\u0441\u044f \u0441\u0438\u043c\u0432\u043e\u043b\u043e\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16cc41cf8b040f60cbf9c1a77e2ad217_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\perp .\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 4 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438: \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u0441\u0435\u043a\u0443\u0449\u0438\u043c\u0438, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u043c\u0438, \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u043c\u0438 \u0438\u043b\u0438 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438. \u041f\u0440\u0438 \u0436\u0435\u043b\u0430\u043d\u0438\u0438 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u043b\u0438\u043d\u0438\u0439 \u043d\u0430 \u043d\u0430\u0448\u0435\u043c \u0441\u0430\u0439\u0442\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-saber-si-dos-rectas-son-perpendiculares\"><\/span> \u041a\u0430\u043a \u0443\u0437\u043d\u0430\u0442\u044c, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u043b\u0438 \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0415\u0441\u0442\u044c \u0434\u0432\u0430 \u0441\u043f\u043e\u0441\u043e\u0431\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043a\u043e\u0433\u0434\u0430 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b: \u043f\u043e \u0438\u0445 <strong>\u043d\u0430\u043f\u0440\u0430\u0432\u043b\u044f\u044e\u0449\u0438\u043c \u0432\u0435\u043a\u0442\u043e\u0440\u0430\u043c<\/strong> \u0438\u043b\u0438 \u043f\u043e \u0438\u0445 <strong>\u043d\u0430\u043a\u043b\u043e\u043d\u0430\u043c<\/strong> . \u041d\u0438\u0436\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u043e\u0431\u043e\u0438\u0445 \u043c\u0435\u0442\u043e\u0434\u043e\u0432, \u0445\u043e\u0442\u044f \u043e\u043d\u0438 \u0441\u043b\u0443\u0436\u0430\u0442 \u043e\u0434\u043d\u043e\u0439 \u0438 \u0442\u043e\u0439 \u0436\u0435 \u0446\u0435\u043b\u0438, \u043c\u044b \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u0430\u043c \u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u043e\u0431\u0435 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043a\u0430\u0436\u0434\u0430\u044f \u0438\u0437 \u043d\u0438\u0445 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u044b \u043b\u0438\u043d\u0438\u0438. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"a-partir-de-los-vectores-directores-de-las-rectas\"><\/span> \u041f\u043e \u0432\u0435\u043a\u0442\u043e\u0440\u0430\u043c \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041e\u0434\u0438\u043d \u0438\u0437 \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432 \u0443\u0437\u043d\u0430\u0442\u044c, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u043b\u0438 \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435, \u2014 \u044d\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0432\u0435\u043a\u0442\u043e\u0440\u044b \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u043c\u044b\u0445 \u043b\u0438\u043d\u0438\u0439. \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u2014 \u044d\u0442\u043e \u0432\u0435\u043a\u0442\u043e\u0440, \u0443\u043a\u0430\u0437\u044b\u0432\u0430\u044e\u0449\u0438\u0439 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438.<\/p>\n<p> \u0412\u0435\u043a\u0442\u043e\u0440\u044b \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043f\u0440\u044f\u043c\u044b\u0445 \u0442\u0430\u043a\u0436\u0435 \u0432\u0437\u0430\u0438\u043c\u043d\u043e \u043e\u0440\u0442\u043e\u0433\u043e\u043d\u0430\u043b\u044c\u043d\u044b. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u0435\u0441\u043b\u0438 \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043f\u0440\u044f\u043c\u044b\u0445 \u0440\u0430\u0432\u043d\u043e 0, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043b\u0438\u043d\u0438\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c201102642087540e4c21a1665044430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r \\cdot \\vv{\\text{v}}_s =0 \\quad \\longrightarrow \\quad r \\perp s\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"193\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0441\u0442\u044c \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f8bad2c42aa92c183e085434ccb23cc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} x=3-2t \\\\[2ex] y=6+3t \\end{cases}\\qquad \\qquad s: \\ \\begin{cases} x=4+3t \\\\[2ex] y=-2+2t \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"355\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041e\u0431\u0435 \u043b\u0438\u043d\u0438\u0438 \u0432\u044b\u0440\u0430\u0436\u0430\u044e\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442\u0430\u043c\u0438 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0447\u0438\u0441\u043b\u0430 \u043f\u0435\u0440\u0435\u0434 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40f8b062c79839dcf7f2885a9e1469e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4eee87f939e1347ce3a11721f91a5acc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r =(-2,3) \\qquad \\qquad \\vv{\\text{v}}_s=(3,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"243\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0443\u0437\u043d\u0430\u0435\u043c \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u043c\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u043c, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u043b\u0438 \u043e\u043d\u0438, \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51919f2cdf78883698006b5416c75e77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r \\cdot \\vv{\\text{v}}_s = (-2,3)\\cdot (3,2) = -2\\cdot 3 +3\\cdot 2= \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043b\u0438\u043d\u0438\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"a-partir-de-las-pendientes-de-las-rectas\"><\/span> \u0423\u043a\u043b\u043e\u043d\u044b \u043b\u0438\u043d\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0414\u0440\u0443\u0433\u043e\u0439 \u0441\u043f\u043e\u0441\u043e\u0431 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438, \u2014 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0438\u0445 \u043d\u0430\u043a\u043b\u043e\u043d\u044b. \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u2013 \u044d\u0442\u043e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044f\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0442\u043e\u0447\u043a\u0438-\u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-554535c3d25b9adc547adff39b691f65_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=mx+n \\qquad \\qquad y-y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"311\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0410 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438 \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u043d\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0438\u0437 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e (\u0438\u043b\u0438 \u043e\u0431\u0449\u0435\u0433\u043e) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c47d22e09faf9eaf8d2f27935a423b63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C= 0 \\ \\longrightarrow \\ m = -\\cfrac{A}{B}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"257\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043d\u0430\u043a\u043b\u043e\u043d\u044b \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043f\u0440\u044f\u043c\u044b\u0445 \u043e\u0431\u0440\u0430\u0442\u043d\u044b \u0438 \u0438\u043c\u0435\u044e\u0442 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0439 \u0437\u043d\u0430\u043a, \u0442\u043e \u0435\u0441\u0442\u044c \u0432\u0441\u0435\u0433\u0434\u0430 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94c7e21dab4f7cda13f9a8b546ee4e54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r \\perp s \\quad \\longrightarrow \\quad m_r=-\\cfrac{1}{m_s}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"200\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a <strong>, \u0435\u0441\u043b\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u043e\u0432 \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u043b\u0438\u043d\u0438\u0439 \u0440\u0430\u0432\u043d\u043e -1, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043b\u0438\u043d\u0438\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-193995c078284812be84bad6f05eff13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_r\\cdot m_s=-1\\quad \\longrightarrow \\quad r \\perp s\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"219\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-04ce16128540017bf7b474ec3617c13b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ y=2x+4 \\qquad \\qquad s: \\ y=-\\cfrac{1}{2} \\ x-5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"315\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u044d\u0442\u043e \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443 \u043f\u043e \u0441\u0432\u043e\u0438\u043c \u043d\u0430\u043a\u043b\u043e\u043d\u0430\u043c. \u041d\u0430\u043a\u043b\u043e\u043d \u043a\u0430\u0436\u0434\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u0435\u043d:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-03ca4d9c87593d5ee90f6ca37bef34b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_r = 2 \\quad \\quad m_s=-\\cfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"162\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u043c \u043d\u0430\u043a\u043b\u043e\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9753f87e74e86c067d7a70e512882b15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2 \\cdot \\left(-\\frac{1}{2} \\right) = -\\cfrac{2}{2} = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"168\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u041f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043d\u0430\u043a\u043b\u043e\u043d\u043e\u0432 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e -1, \u0447\u0442\u043e \u0444\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-calcular-una-recta-perpendicular-a-otra\"><\/span> \u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u043b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e \u0434\u0440\u0443\u0433\u043e\u0439?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0425\u043e\u0442\u044c \u044d\u0442\u043e \u0438 \u043c\u043e\u0436\u0435\u0442 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u044c\u0441\u044f \u0442\u0440\u0443\u0434\u043d\u044b\u043c, \u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u043b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e \u0434\u0440\u0443\u0433\u043e\u0439, \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u043e, \u0434\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0443\u0436\u0435\u043d \u0442\u043e\u043b\u044c\u043a\u043e \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0439 \u043f\u0440\u044f\u043c\u043e\u0439, \u0438 \u0442\u043e\u0447\u043a\u0430, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0430\u044f \u044d\u0442\u043e\u0439 \u043b\u0438\u043d\u0438\u0438.<\/p>\n<p> \u0415\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f \u0442\u0440\u0443\u0434\u043d\u043e\u0441\u0442\u044c \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e, \u043a\u0430\u043a \u0438 \u0440\u0430\u043d\u044c\u0448\u0435, \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0430 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0442\u0438\u043f\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u044b \u043b\u0438\u043d\u0438\u0438. \u041f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u043b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e \u0434\u0440\u0443\u0433\u043e\u0439, \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043f\u043e <strong>\u0432\u0435\u043a\u0442\u043e\u0440\u0430\u043c \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f<\/strong> \u0438\u043b\u0438 \u043f\u043e <strong>\u043d\u0430\u043a\u043b\u043e\u043d\u0430\u043c<\/strong> . <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"a-partir-del-vector-director-de-la-recta\"><\/span> \u041e\u0442 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0432\u043f\u0440\u0430\u0432\u043e<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e \u0434\u0440\u0443\u0433\u043e\u0439 \u0434\u0430\u043d\u043d\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439, \u043c\u043e\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0435\u0435 \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e \u043f\u0440\u044f\u043c\u043e\u0439\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0447\u0442\u043e \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6958f848b3f39930bc315b56f627f888_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(5,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p> . \u0431\u044b\u0442\u044c \u043f\u0440\u044f\u043c\u044b\u043c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5986f031932e6b3512dc564514c34b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b5fe80f13ce74c302e8c4d0d43312e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r : \\ 3x+2y-1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"151\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043b\u0438\u043d\u0438\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043e\u0431\u0449\u0435\u0433\u043e (\u0438\u043b\u0438 \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438 \u043c\u043e\u0436\u043d\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0410 \u0438 \u0412 \u043b\u0438\u043d\u0438\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-74a837dd4418af70e10fd09799b683fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r =(-B,A)=(-2,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418 \u043a\u0430\u043a \u0442\u043e\u043b\u044c\u043a\u043e \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0435\u043a\u0442\u043e\u0440, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0439 \u0435\u043c\u0443. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u043e <strong>\u0432\u0441\u0442\u0430\u0432\u044c\u0442\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u0438 \u0438\u0437\u043c\u0435\u043d\u0438\u0442\u0435 \u0437\u043d\u0430\u043a \u043e\u0434\u043d\u043e\u0433\u043e \u0438\u0437 \u043d\u0438\u0445<\/strong> (\u0442\u043e\u0433\u043e, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432\u0430\u043c \u043d\u0443\u0436\u0435\u043d):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2913de6424fc432232757bec39f35224_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_\\perp =(3,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043d\u0435\u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0432\u0438\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7a24d8f41b3c82e25a2a64fed8dc6eb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c}\\vv{\\text{v}}= (-B,A) \\\\[2ex] \\vv{\\text{v}}_\\perp= (3,2) \\end{array} \\right\\}\\longrightarrow \\begin{array}{l}A=2 \\\\[2ex] B=-3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"227\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-739e80921de1f58532cb80e39a1a99ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C \\ \\longrightarrow \\ 2x-3y+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"282\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u0421. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0432 \u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0447\u043a\u0443, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0443\u044e \u043f\u0440\u044f\u043c\u043e\u0439, \u0438 \u0440\u0435\u0448\u0438\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6958f848b3f39930bc315b56f627f888_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(5,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25eacf0bb239b6df3f13635fc3610581_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x-3y+C=0 \\ \\xrightarrow{x=5 \\ ; \\ y=-1} \\ 2\\cdot 5-3\\cdot (-1)+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"414\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d9c027534a3012f424b71d9aca52bea6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"10+3+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"116\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8dd4128e8f4a94ad16032e46a92ad7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"13+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"85\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b43941a755068a6653821916aa4c21fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=-13\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"70\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0412 \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-92146bbab9db27f4cd11c712a4903680_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{2x-3y-13=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"131\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"a-partir-de-la-pendiente-de-la-recta\"><\/span> \u041e\u0442 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0414\u0440\u0443\u0433\u043e\u0439 \u0441\u043f\u043e\u0441\u043e\u0431 \u043d\u0430\u0439\u0442\u0438 \u043b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u2014 \u043f\u043e \u0435\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0443. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0435\u0442\u0441\u044f \u0437\u0430\u0434\u0430\u0447\u0430 \u0442\u0430\u043a\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435:<\/p>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e \u043f\u0440\u044f\u043c\u043e\u0439\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0447\u0442\u043e \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36f2ed872a167a169d9067f4030a0d5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<p> . \u0431\u044b\u0442\u044c \u043f\u0440\u044f\u043c\u044b\u043c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5986f031932e6b3512dc564514c34b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5e02351a12a105d0752c9812b371ce2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r : \\ y=4x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"112\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0412\u043e\u0441\u0442\u043e\u043a:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6fd143f62c08661d4c17431b128bdcf9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_r = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> \u0417\u043d\u0430\u044f \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u0440\u044f\u043c\u043e\u0439, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438. \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432 \u0440\u0430\u0437\u0434\u0435\u043b\u0430\u0445 \u0432\u044b\u0448\u0435, \u043d\u0430\u043a\u043b\u043e\u043d\u044b \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043b\u0438\u043d\u0438\u0439 \u043e\u0431\u0440\u0430\u0442\u043d\u044b \u0438 \u0438\u043c\u0435\u044e\u0442 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u043d\u044b\u0439 \u0437\u043d\u0430\u043a. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0438\u043d\u0432\u0435\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0439 \u043d\u0430\u043a\u043b\u043e\u043d \u0438 \u0438\u0437\u043c\u0435\u043d\u0438\u0442\u044c \u0435\u0433\u043e \u0437\u043d\u0430\u043a:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f9601540b317cc3d7380a69255796aca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_\\perp =-\\cfrac{1}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"75\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u0431\u0443\u0434\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c8bbb40f6658cea3b5ba541c3fbde45f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"91\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1b0436cbb9c29ab635d768a6b4992a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-\\cfrac{1}{4} \\ x + n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"106\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043c \u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 \u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u0432 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36f2ed872a167a169d9067f4030a0d5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-db225675e4cae337af67d6e444297788_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-\\cfrac{1}{4} \\ x + n \\ \\xrightarrow{x=0 \\ ; \\ y=1} \\ 1 =-\\cfrac{1}{4}\\cdot 0 + n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"316\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f995cf70a3bdfa97f5e6e43d1eb07e79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1 = n\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fcf81f387dca3d0d9a94c6bda81f55da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y=-}\\mathbf{\\cfrac{1}{4}} \\ \\bm{x + 1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"105\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-rectas-perpendiculares\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043b\u0438\u043d\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412\u0441\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438:<\/p>\n<ul>\n<li> <strong>\u0421\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f<\/strong> : \u0435\u0441\u043b\u0438 \u043b\u0438\u043d\u0438\u044f \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u044d\u0442\u0430 \u043b\u0438\u043d\u0438\u044f \u0442\u0430\u043a\u0436\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0430 \u043f\u0435\u0440\u0432\u043e\u0439 \u043b\u0438\u043d\u0438\u0438.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4aa9655b3cb67de93199cc9f3eb71a62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r \\bm{\\perp} s \\ \\longrightarrow \\ s \\bm{\\perp} r\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"111\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u041d\u0435\u0440\u0435\u0444\u043b\u0435\u043a\u0441\u0438\u0432\u043d\u043e\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e<\/strong> : \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u043d\u0438 \u043e\u0434\u043d\u0430 \u043b\u0438\u043d\u0438\u044f \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0430 \u0441\u0430\u043c\u043e\u0439 \u0441\u0435\u0431\u0435.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c08c6c671e03ca7c22766d8f645bdda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r \\ \\cancel{\\bm{\\perp}}} \\ r\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u0422\u0435\u043e\u0440\u0435\u043c\u0430:<\/strong> \u0412 \u0435\u0432\u043a\u043b\u0438\u0434\u043e\u0432\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438 (\u0432 R2) \u043b\u044e\u0431\u0430\u044f \u043f\u0430\u0440\u0430 \u043f\u0440\u044f\u043c\u044b\u0445, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u0442\u0440\u0435\u0442\u044c\u0435\u0439 \u043f\u0440\u044f\u043c\u043e\u0439, \u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0434\u043e\u043b\u0436\u043d\u0430 \u0431\u044b\u0442\u044c \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e\u0439. \u0422\u043e \u0435\u0441\u0442\u044c, \u0435\u0441\u043b\u0438 \u043b\u0438\u043d\u0438\u044f \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u0430 \u044d\u0442\u0430 \u043b\u0438\u043d\u0438\u044f \u0442\u0430\u043a\u0436\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0430 \u0442\u0440\u0435\u0442\u044c\u0435\u0439 \u043b\u0438\u043d\u0438\u0438, \u043f\u0435\u0440\u0432\u0430\u044f \u0438 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u044f\u044f \u043b\u0438\u043d\u0438\u0438 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-rectas-perpendiculares\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043f\u0440\u044f\u043c\u044b\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041a\u0430\u043a\u0430\u044f \u0438\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u043f\u0440\u044f\u043c\u044b\u0445 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c5037ce20b6273bda9115a1470b37d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: y=3x+4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"106\" style=\"vertical-align: -4px;\"><\/p>\n<p> ? <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c96cca208712edbd46c238771ddad6b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a : \\ y=3x-\\cfrac{1}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-152da266e1dea3f64c51d88fcbc704ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b : \\ y=-\\cfrac{1}{3} \\ x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"132\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-288a904e7fd52ba5029d0a5d57fa8752_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c : \\ y=-4x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"125\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16807ecd7f00eb3b7e692f76478671a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d : \\ y=\\cfrac{1}{3} \\ x-5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"119\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff6cab5947ffdd02ca4833161b1625c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"e : \\ y=-\\cfrac{1}{3} \\ x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"132\" style=\"vertical-align: -12px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e 3:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d202572e12c5fe2c3cffe4f7c6d09317_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_r=3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u043d\u0430\u043a\u043b\u043e\u043d\u044b \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043f\u0440\u044f\u043c\u044b\u0445 \u043e\u0431\u0440\u0430\u0442\u043d\u044b \u0438 \u0438\u043c\u0435\u044e\u0442 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0439 \u0437\u043d\u0430\u043a, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043a\u043b\u043e\u043d \u043b\u044e\u0431\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439,<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b9027c99bc1ad7eac6b36ded5a45746_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_\\perp=-\\cfrac{1}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"75\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043b\u0438\u043d\u0438\u0438 \u0431\u044b\u043b\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u043f\u0440\u044f\u043c\u043e\u0439<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u044d\u0442\u043e \u0442\u0435, \u043d\u0430\u043a\u043b\u043e\u043d \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0440\u0430\u0432\u0435\u043d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30825ab4708d7395a42caf877ba0dfc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-\\cfrac{1}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"24\" style=\"vertical-align: -12px;\"><\/p>\n<p> . \u0422\u043e \u0435\u0441\u0442\u044c \u0441\u0442\u0440\u043e\u043a\u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b302d0a4fd672870f1aaabe663fb222c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{b}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-937e6cc7f576805fbfa37b069dd2fc95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{e}.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u043b\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e9d2323afa87c41dec84f29a4c5d645_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} x=4-t \\\\[2ex] y=1-3t \\end{cases}\\qquad \\qquad s: \\ \\cfrac{x-2}{4} = \\cfrac{y+3}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"354\" style=\"vertical-align: 0px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u043f\u0440\u0430\u0432\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0442\u0430\u043a\u043e\u0433\u043e, \u0447\u0442\u043e \u043a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442\u0430\u043c\u0438 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0447\u0438\u0441\u043b\u0430 \u043f\u0435\u0440\u0435\u0434 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u043c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40f8b062c79839dcf7f2885a9e1469e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0e0e9ede5d6349c4137633fff84baf7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r =(-1,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043f\u0440\u044f\u043c\u0430\u044f \u043b\u0438\u043d\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043c\u0438 \u0435\u0433\u043e \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0447\u0438\u0441\u043b\u0430 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u0435\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-45ba04d949e5b931bf12b1f07458709b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_s =(4,6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u043d\u0430\u044f \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u043b\u0438\u043d\u0438\u0438, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u043b\u0438 \u043e\u043d\u0438, \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0432 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-508d919ed11a16d974092e1584ed26f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r \\cdot \\vv{\\text{v}}_s = (-1,-3)\\cdot (4,6) = -1\\cdot 4 + (-3)\\cdot 6= -22 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"419\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \u043d\u0435 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 <strong>\u043b\u0438\u043d\u0438\u0438 \u043d\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b<\/strong> .<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e \u043f\u0440\u044f\u043c\u043e\u0439<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0447\u0442\u043e \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19ac02e5d213f97eca4e58d7ee294255_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p> . \u0431\u044b\u0442\u044c \u043f\u0440\u044f\u043c\u044b\u043c <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5986f031932e6b3512dc564514c34b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-718a69e7e4cb1ceb384bee64ab980636_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r : \\ 4x-y+5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"142\" style=\"vertical-align: -4px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043b\u0438\u043d\u0438\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043e\u0431\u0449\u0435\u0433\u043e (\u0438\u043b\u0438 \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0435\u0435 \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u0435\u043d:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b8f5229715dc2eef5463c86f35b3be7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r =(-B,A)=(1,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"166\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u043d\u0430\u044f \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0435\u043a\u0442\u043e\u0440, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0439 \u0435\u043c\u0443. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u043e \u0432\u0441\u0442\u0430\u0432\u044c\u0442\u0435 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u0438 \u0438\u0437\u043c\u0435\u043d\u0438\u0442\u0435 \u0437\u043d\u0430\u043a \u043e\u0434\u043d\u043e\u0433\u043e \u0438\u0437 \u043d\u0438\u0445 (\u0442\u043e\u0433\u043e, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432\u0430\u043c \u043d\u0443\u0436\u0435\u043d):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e06f23ab893177822252009479d06ef4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_\\perp =(4,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043d\u0435\u044f\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0431\u0443\u0434\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0432\u0438\u0434: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8833b30c014bab389b6df773ac4c4ea2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c}\\vv{\\text{v}}= (-B,A) \\\\[2ex] \\vv{\\text{v}}_\\perp= (4,-1) \\end{array} \\right\\}\\longrightarrow \\begin{array}{l}A=-1 \\\\[2ex] B=-4 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"229\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e4263d73fd292a001dbb66b872100ce7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C \\ \\longrightarrow \\ -x-4y+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"287\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0435 C. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0432 \u0435\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0447\u043a\u0443, \u0447\u0435\u0440\u0435\u0437 \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u043f\u0440\u044f\u043c\u0430\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19ac02e5d213f97eca4e58d7ee294255_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-feaf4319137783194208bab3d8b27cd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x-4y+C=0 \\ \\xrightarrow{x=-2 \\ ; \\ y=1} \\ -(-2)-4\\cdot 1+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"410\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-13f0dd72be01bffcbafc8807763a3087_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2-4+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"108\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdcf14f5dab12de955e6a53650944589_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"90\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d481c86b32bd6e5b653830a2f3fcf0d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"46\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bb9e22da5ff6fc3387230d21835e6e47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-x-4y+2=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"126\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0447\u0442\u043e \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0b29b047577dc4b6ad8c272c8910a828_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(3,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p> . \u0431\u044b\u0442\u044c \u043f\u0440\u044f\u043c\u044b\u043c <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5986f031932e6b3512dc564514c34b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f453909575cea8ee8b8beeae6b90dd11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r : \\ y=5x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"111\" style=\"vertical-align: -4px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0412\u043e\u0441\u0442\u043e\u043a:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b9bc2a1b6aa698be6c74b6c5163aaab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_r = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"55\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0417\u043d\u0430\u044f \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u0440\u044f\u043c\u043e\u0439, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u043d\u0430\u043a\u043b\u043e\u043d \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u0435\u0440\u0435\u0432\u0435\u0440\u043d\u0438\u0442\u0435 \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0439 \u043d\u0430\u043a\u043b\u043e\u043d \u0438 \u0438\u0437\u043c\u0435\u043d\u0438\u0442\u0435 \u0435\u0433\u043e \u0437\u043d\u0430\u043a:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e251e13a4dc18e9e9ad9f007d574e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_\\perp =-\\cfrac{1}{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"75\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u044c\u0442\u0435 \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u044b\u0439 \u043d\u0430\u043a\u043b\u043e\u043d \u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad77eaddda7780dfbaa915f63ab9f9b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y -y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ac08ac6447fcf5ac3bb43ce7e49b3346_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-(-2)=-\\cfrac{1}{5} (x- 3)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"169\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40c96f64c3dd3a5a575107b51f849422_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y+2=}\\mathbf{-\\cfrac{1}{5}}\\bm{ (x- 3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"138\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 5<\/h3>\n<p> \u043f\u0440\u0430\u0432\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0438 (2,1) \u0438 (4,2), \u0430 \u043b\u0438\u043d\u0438\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0438 (-1,2) \u0438 (1,-2). \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435, \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043b\u0438 \u044d\u0442\u043e \u0434\u0432\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u0438\u043b\u0438 \u043d\u0435\u0442. <\/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\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043b\u0438 \u044d\u0442\u043e \u0434\u0432\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438, \u043c\u044b \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0438\u0445 \u043d\u0430\u043a\u043b\u043e\u043d\u044b, \u0430 \u0437\u0430\u0442\u0435\u043c \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u0441\u043e\u0431\u043b\u044e\u0434\u0430\u044e\u0442\u0441\u044f \u043b\u0438 \u043e\u043d\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f. \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043b\u0438\u043d\u0438\u0438 \u0442\u0430\u043a\u043e\u0432\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ca826248e812d4f19056960777cb00f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\Delta y}{\\Delta x} = \\cfrac{y_2-y_1}{x_2-x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"150\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0412\u043e\u0441\u0442\u043e\u043a:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c8ddf79708c435d198e76cd1ea60815_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\Delta y}{\\Delta x} = \\cfrac{2-1}{4-2} = \\cfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"166\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043a\u043b\u043e\u043d \u043b\u0438\u043d\u0438\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0412\u043e\u0441\u0442\u043e\u043a:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce3b21c5c5cc5a410787232d2fbd0d72_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{\\Delta y}{\\Delta x} = \\cfrac{-2-2}{1-(-1)} = \\cfrac{-4}{2}=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"260\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0441\u0442\u044c \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u043d\u0430\u043a\u043b\u043e\u043d \u043e\u0434\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u043c \u043d\u0430\u043a\u043b\u043e\u043d\u0443 \u0434\u0440\u0443\u0433\u043e\u0439. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0434\u0432\u0430 \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u043c\u0438 \u0438 \u0438\u043c\u0435\u044e\u0442 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0435 \u0437\u043d\u0430\u043a\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 <strong>\u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443.<\/strong><\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 6<\/h3>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0441\u0442\u043e\u0438\u043c\u043e\u0441\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u0431\u044b\u043b\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdd317b585815bfad6a5fece4d4df4a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ 5x+3y-7=0\\qquad \\qquad s: \\ 4x+ky+1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"374\" style=\"vertical-align: -4px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0414\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0432\u044b\u0440\u0430\u0436\u0430\u044e\u0442\u0441\u044f \u0432 \u0444\u043e\u0440\u043c\u0435 \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e (\u0438\u043b\u0438 \u043e\u0431\u0449\u0435\u0433\u043e) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0430 \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438 \u0440\u0430\u0432\u0435\u043d: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02f4d03229cc8bd79a81b676a8132f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"137\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d30ed471016fdffbd1d5366cf389f980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}} =(-B,A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"95\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u0431\u0443\u0434\u0435\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e4aa58cc3dc6ccd5cb69990c6ffd3a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r =(-3,5) \\qquad \\qquad \\vv{\\text{v}}_s =(-k,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"258\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u0431\u044b\u043b\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b, \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0438\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0434\u043e\u043b\u0436\u043d\u043e \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u044d\u0442\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u0435, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0433\u043e <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7cf6d2c84f82625cb8a795ee1394251f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b2db86aa49b4d137058e4e611b75a0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r \\cdot \\vv{\\text{v}}_s = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"79\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff262ea331d794bd6abd6255986cdfa1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(-3,5) \\cdot (-k,4)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-805ab8de8d014fee5ab9d234172623cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3\\cdot (-k)+5\\cdot 4  = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"157\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de68936df86c973d7be8c4726bc994b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3k+20 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"91\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f52e9afb8bc6935346bfde8bc58cf441_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3k =-20\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"74\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-79f675547d6064ad8f07f38640ec05de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{k = -}\\mathbf{\\cfrac{20}{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"70\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043b\u0438\u043d\u0438\u044f\u0445: \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435, \u043a\u043e\u0433\u0434\u0430 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043b\u0438\u043d\u0438\u044e, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0443\u044e \u0434\u0440\u0443\u0433\u043e\u0439, \u0435\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430&#8230; \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0430 \u0441 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u043c\u0438, \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u043c\u0438 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u0432\u0435 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043f\u0440\u044f\u043c\u044b\u0435? \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0434\u0432\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u0441\u0447\u0438\u0442\u0430\u044e\u0442\u0441\u044f \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u043c\u0438, \u0435\u0441\u043b\u0438 \u043e\u043d\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u0432 \u0442\u043e\u0447\u043a\u0435, \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0435\u0439 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%be%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d0%b5%d1%80%d0%bf%d0%b5%d0%bd%d0%b4%d0%b8%d0%ba%d1%83%d0%bb%d1%8f%d1%80%d0%bd%d1%8b%d1%85-%d0%bb%d0%b8%d0%bd%d0%b8%d0%b8\/\"> <span class=\"screen-reader-text\">\u041f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438 (\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0441\u0442\u044c)<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &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":[23],"tags":[],"class_list":["post-235","post","type-post","status-publish","format-standard","hentry","category-23"],"yoast_head":"<!-- This site is optimized 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\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u043c\u0438, \u0435\u0441\u043b\u0438 \u043e\u043d\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u0432 \u0442\u043e\u0447\u043a\u0435, \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0435\u0439 &hellip; \u041f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438 (\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0441\u0442\u044c) \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ru\/\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435-\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445-\u043b\u0438\u043d\u0438\u0438\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T20:04:36+00:00\" 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