{"id":274,"date":"2023-07-10T00:32:54","date_gmt":"2023-07-10T00:32:54","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%be%d1%82%d0%bd%d0%be%d1%81%d0%b8%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d0%be%d0%b5-%d0%bf%d0%be%d0%bb%d0%be%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b8-%d0%b8-%d0%bf%d0%bb%d0%be\/"},"modified":"2023-07-10T00:32:54","modified_gmt":"2023-07-10T00:32:54","slug":"%d0%be%d1%82%d0%bd%d0%be%d1%81%d0%b8%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d0%be%d0%b5-%d0%bf%d0%be%d0%bb%d0%be%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b8-%d0%b8-%d0%bf%d0%bb%d0%be","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%be%d1%82%d0%bd%d0%be%d1%81%d0%b8%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d0%be%d0%b5-%d0%bf%d0%be%d0%bb%d0%be%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b8-%d0%b8-%d0%bf%d0%bb%d0%be\/","title":{"rendered":"\u041e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438"},"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 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438. \u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c \u0432\u0430\u043c, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e (2 \u043c\u0435\u0442\u043e\u0434\u0430), \u0430 \u0442\u0430\u043a\u0436\u0435 \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-posiciones-relativas-entre-una-recta-y-un-plano\"><\/span> \u041a\u0430\u043a\u043e\u0432\u044b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0442\u044c \u0432\u0441\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e, \u043d\u0430\u043c, \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0437\u043d\u0430\u0442\u044c  , \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043b\u0438\u043d\u0438\u0438  \u0438  \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c  . \u041f\u043e\u044d\u0442\u043e\u043c\u0443, \u0435\u0441\u043b\u0438 \u0432\u0430\u043c \u0432\u0441\u0435 \u0435\u0449\u0435 \u043d\u0435 \u0441\u043e\u0432\u0441\u0435\u043c \u044f\u0441\u043d\u044b \u044d\u0442\u0438 \u0434\u0432\u0435 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438, \u043c\u044b \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u0430\u043c \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u044c \u043d\u0430 \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0435 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u044b, \u0433\u0434\u0435 \u044d\u0442\u043e \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u043e.<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0432 \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u0442\u0440\u0438 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 \u043c\u0435\u0436\u0434\u0443 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e:<\/p>\n<ul>\n<li> <strong>\u041b\u0438\u043d\u0438\u044f, \u0441\u043e\u0434\u0435\u0440\u0436\u0430\u0449\u0430\u044f\u0441\u044f \u0432 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438<\/strong> : \u043a\u043e\u0433\u0434\u0430 \u043b\u0438\u043d\u0438\u044f \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442\u0441\u044f \u0432 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043e\u043d\u0438 \u0438\u043c\u0435\u044e\u0442 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u043e\u0431\u0449\u0438\u0445 \u0442\u043e\u0447\u0435\u043a.<\/li>\n<li> <strong>\u041f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u0430\u044f \u043b\u0438\u043d\u0438\u044f \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c<\/strong> : \u041f\u0440\u044f\u043c\u0430\u044f \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b, \u0435\u0441\u043b\u0438 \u0443 \u043d\u0438\u0445 \u043d\u0435\u0442 \u043e\u0431\u0449\u0435\u0439 \u0442\u043e\u0447\u043a\u0438.<\/li>\n<li> <strong>\u041f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0430\u044f\u0441\u044f \u043b\u0438\u043d\u0438\u044f \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c<\/strong> : \u043b\u0438\u043d\u0438\u044f \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f, \u043a\u043e\u0433\u0434\u0430 \u043b\u0438\u043d\u0438\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u0435\u0442 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c \u0432 \u0442\u043e\u0447\u043a\u0435. \u0422\u0430\u043a \u0447\u0442\u043e \u043e\u0431\u0449\u0435\u0433\u043e \u0443 \u043d\u0438\u0445 \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0434\u043d\u043e. <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/positions-relatives-dune-droite-et-dun-plan.webp\" alt=\"\" class=\"wp-image-4014\" width=\"651\" height=\"400\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043a\u043e\u0433\u0434\u0430 \u043b\u0438\u043d\u0438\u044f \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442\u0441\u044f \u0432 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438\u043b\u0438 \u043a\u043e\u0433\u0434\u0430 \u043e\u043d\u0438 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443, \u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c\u044b\u0439 \u0438\u043c\u0438 \u0443\u0433\u043e\u043b \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u0435\u043d 0\u00b0. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043f\u0440\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u0438 \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0443\u0433\u043e\u043b \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u0438 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u043c\u0438 \u043c\u043e\u0436\u0435\u0442 \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0442\u044c \u043e\u0442 0\u00b0 (\u043d\u0435 \u0432\u0445\u043e\u0434\u0438\u0442 \u0432 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0442) \u0434\u043e 90\u00b0 (\u0432\u043a\u043b\u044e\u0447\u0438\u0442\u0435\u043b\u044c\u043d\u043e). <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-calcular-la-posicion-relativa-de-una-recta-y-un-plano\"><\/span> \u041a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0432\u0437\u0430\u0438\u043c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412 \u043e\u0441\u043d\u043e\u0432\u043d\u043e\u043c \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0434\u0432\u0430 \u043c\u0435\u0442\u043e\u0434\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\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 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435: <strong>\u043f\u043e \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0430\u043c<\/strong> \u0438\u043b\u0438 <strong>\u043f\u043e \u0432\u0435\u043a\u0442\u043e\u0440\u0430\u043c<\/strong> .<\/p>\n<p> \u041a\u043e\u0433\u0434\u0430 \u043b\u0438\u043d\u0438\u044f \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\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, \u043f\u0440\u043e\u0449\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u0435\u0442\u043e\u0434 \u0440\u0430\u043d\u0433\u043e\u0432. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u043b\u0438\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u043d\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0442\u0438\u043f\u0430, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043a\u043e\u0433\u0434\u0430 \u043e\u043d\u0430 \u0438\u043c\u0435\u0435\u0442 \u0444\u043e\u0440\u043c\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e, \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0438\u043b\u0438 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0431\u044b\u0441\u0442\u0440\u0435\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u044b\u0439 \u043c\u0435\u0442\u043e\u0434.<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0432\u044b \u043d\u0435 \u043f\u043e\u043c\u043d\u0438\u0442\u0435, \u043a\u0430\u043a \u0432\u044b\u0433\u043b\u044f\u0434\u044f\u0442 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438, \u043c\u044b \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0432\u0430\u043c \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0443, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043e\u0437\u043d\u0430\u043a\u043e\u043c\u0438\u0442\u044c\u0441\u044f  \u0441\u043e \u0432\u0441\u0435\u043c\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u043c\u0438 \u043b\u0438\u043d\u0438\u0438  . \u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439, \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u0434\u043b\u044f \u0431\u044b\u0441\u0442\u0440\u043e\u0433\u043e \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0435\u0439 \u0447\u0435\u0440\u0435\u0437 \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438, \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u043e \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f.<\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u043d\u0435\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0442\u043e\u0442 \u0438\u043b\u0438 \u0438\u043d\u043e\u0439 \u043c\u0435\u0442\u043e\u0434 \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043e\u0442 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u044b, \u043f\u043e \u044d\u0442\u043e\u0439 \u043f\u0440\u0438\u0447\u0438\u043d\u0435 \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. \u041d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u043e\u0431\u043e\u0438\u0445 \u043c\u0435\u0442\u043e\u0434\u043e\u0432 \u0441 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u043c\u0438. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"cuando-la-recta-esta-en-forma-de-ecuacion-implicita-o-general\"><\/span> \u041a\u043e\u0433\u0434\u0430 \u043b\u0438\u043d\u0438\u044f \u0438\u043c\u0435\u0435\u0442 \u0444\u043e\u0440\u043c\u0443 \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<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041e\u0434\u0438\u043d \u0438\u0437 \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u2014 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u043d\u0433 \u0434\u0432\u0443\u0445 \u043c\u0430\u0442\u0440\u0438\u0446.<\/p>\n<p> \u0415\u0441\u043b\u0438 \u043b\u0438\u043d\u0438\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0435\u0435 \u043d\u0435\u044f\u0432\u043d\u044b\u043c\u0438 (\u0438\u043b\u0438 \u043e\u0431\u0449\u0438\u043c\u0438) \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u043c\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-90fc7032d2804ef53ac3136f01ee9d86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}A_1x+B_1y+C_1z+D_1=0 \\\\[2ex] A_2x+B_2y+C_2z+D_2=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418 \u043f\u043b\u0430\u043d \u0442\u0430\u043a\u0436\u0435 \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043e\u0431\u0449\u0435\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\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-d3bdc521630479fe27eb3873cd5b21b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi : \\ A_3x+B_3y+C_3z+D_3=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"242\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u0437\u043e\u0432\u0435\u043c \u0410 \u043c\u0430\u0442\u0440\u0438\u0446\u0435\u0439, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u043e\u0439 \u0438\u0437 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0410, \u0412 \u0438 \u0421 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438 \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-e697e27706489cb97d773b722c84ad37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A =\\begin{pmatrix} A_1&amp;B_1&amp;C_1\\\\[1.1ex] A_2&amp;B_2&amp;C_2\\\\[1.1ex] A_3&amp;B_3&amp;C_3\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"158\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0410 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u043e\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u0435\u0439 \u0441\u043e \u0432\u0441\u0435\u043c\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438 \u0434\u0432\u0443\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\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-6c87c6559e077c5bedb08d62e386f0bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A' =\\begin{pmatrix} A_1&amp;B_1&amp;C_1&amp;D_1\\\\[1.1ex] A_2&amp;B_2&amp;C_2&amp;D_2\\\\[1.1ex] A_3&amp;B_3&amp;C_3&amp;D_3\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"201\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0417\u0430\u0442\u0435\u043c \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u043f\u0440\u043e\u0442\u044f\u0436\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u0434\u0432\u0443\u0445 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0445 \u043c\u0430\u0442\u0440\u0438\u0446 \u0441\u043e\u0433\u043b\u0430\u0441\u043d\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0442\u0430\u0431\u043b\u0438\u0446\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/position-relative-entre-une-ligne-et-un-plan-par-intervalles.webp\" alt=\"\u0438\u0437\u0443\u0447\u0438\u0442\u044c \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 \u043f\u043e \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0430\u043c\" class=\"wp-image-4019\" width=\"623\" height=\"194\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0422\u043e, \u0447\u0442\u043e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0437\u0430\u0432\u0438\u0441\u044f\u0442 \u043e\u0442 \u0440\u0430\u043d\u0433\u043e\u0432 \u044d\u0442\u0438\u0445 \u0434\u0432\u0443\u0445 \u043c\u0430\u0442\u0440\u0438\u0446, \u043c\u043e\u0436\u043d\u043e \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0435\u043e\u0440\u0435\u043c\u044b \u0420\u0443\u0448\u0430-\u0424\u0440\u043e\u0431\u0435\u043d\u0438\u0443\u0441\u0430 (\u0442\u0435\u043e\u0440\u0435\u043c\u044b, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u043e\u0439 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439). \u041e\u0434\u043d\u0430\u043a\u043e \u043d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u043d\u0435 \u0431\u0443\u0434\u0435\u043c \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u0442\u044c \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0430\u0446\u0438\u044e, \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \u044d\u0442\u043e \u043d\u0435 \u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0437\u043d\u0430\u0442\u044c, \u0438 \u044d\u0442\u043e \u0442\u043e\u0436\u0435 \u043c\u0430\u043b\u043e \u0447\u0442\u043e \u0434\u0430\u0435\u0442.<\/p>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0432\u0437\u0430\u0438\u043c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043f\u043e \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d\u0430\u043c<\/h4>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u0438\u043c\u0435\u043d\u043d\u043e \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f, \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0440\u0435\u0448\u0438\u043c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435:<\/p>\n<ul>\n<li> \u0418\u0437\u0443\u0447\u0438\u0442\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e:<\/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-794d91d1740ca80c422936e5e06abefd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}2x+y+z+3=0 \\\\[2ex] 4x-y+5z+2=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"198\" 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-14576ddb5ea954ab6ac03ddfa4719d21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi : \\ 2x+2y-6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"153\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041b\u0438\u043d\u0438\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044f\u043c\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u043d\u0435\u044f\u0432\u043d\u044b\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u0435\u0442\u043e\u0434 \u0440\u0430\u043d\u0433\u043e\u0432 \u0434\u043b\u044f \u0438\u0437\u0443\u0447\u0435\u043d\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 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e.<\/p>\n<p> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A \u0438 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0443\u044e \u043c\u0430\u0442\u0440\u0438\u0446\u0443 A&#8217; \u0441 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\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-819af000774ddbc89e11df809bcb2a28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A =\\begin{pmatrix} 2&amp;1&amp;1\\\\[1.1ex] 4&amp;-1&amp;5\\\\[1.1ex] 2&amp;2&amp;0\\end{pmatrix} \\qquad \\qquad A' =\\begin{pmatrix} 2&amp;1&amp;1&amp;3\\\\[1.1ex] 4&amp;-1&amp;5&amp;2\\\\[1.1ex] 2&amp;2&amp;0&amp;-6\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"394\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418 \u0442\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u043d\u0433 \u043a\u0430\u0436\u0434\u043e\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b. \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u0440\u0430\u0437\u043c\u0435\u0440 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0410 \u043f\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044f\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-5db59e1c8bbf94b95483870d47cea1b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A) = \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" 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-997e4d9c9bd1522795a581d0fb62cfdf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 2&amp;1&amp;1\\\\[1.1ex] 4&amp;-1&amp;5\\\\[1.1ex] 2&amp;2&amp;0\\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"115\" 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-169fab3e064b8bb744ef9cc546bfe201_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 2&amp;1\\\\[1.1ex] 4&amp;-1\\end{vmatrix} =-6 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"136\" 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-ef18656c1a261aa20598fc8f6a587323_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A) = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b A \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e, \u043d\u043e \u043e\u043d\u0430 \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442 \u043f\u043e\u0434\u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u0440\u0430\u0437\u043c\u0435\u0440\u0430 2 \u00d7 2, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u0442\u043b\u0438\u0447\u0435\u043d \u043e\u0442 \u043d\u0443\u043b\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u044d\u0442\u043e \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u0440\u0430\u043d\u0433\u0430 2.<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0442\u0430\u043a\u0436\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u043d\u0433 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217;. \u0410 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u043e\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A&#8217; \u0432\u0441\u0435\u0433\u0434\u0430 \u0431\u0443\u0434\u0435\u0442 \u043a\u0430\u043a \u043c\u0438\u043d\u0438\u043c\u0443\u043c \u0442\u0430\u043a\u0438\u043c \u0436\u0435, \u043a\u0430\u043a \u0438 \u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u044b A, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u0438\u043c\u0435\u0435\u0442 \u043b\u0438 \u043e\u043d\u0430 \u0440\u0430\u043d\u0433 3 \u0438\u043b\u0438 2: <\/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-e8e886877bcaa4124dd444188a5cc66a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A') = \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" 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-ae375c2cd910e2e52f242facef2aecec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 2&amp;1&amp;3\\\\[1.1ex] 4&amp;-1&amp;2\\\\[1.1ex] 2&amp;2&amp;-6\\end{vmatrix} =62 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"170\" 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-8f38f92bcbb2288e43932ccd835e99d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A') = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0438\u043c\u0435\u0435\u0442 \u0441\u0443\u0431\u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c 3\u00d73, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u0439 \u043e\u0442 0, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u043d\u0430 \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 3.<\/p>\n<p> \u0418\u0442\u0430\u043a, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 2, \u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u0430 A&#8217; \u0438\u043c\u0435\u0435\u0442 \u0440\u0430\u043d\u0433 3, <strong>\u043f\u0440\u044f\u043c\u0430\u044f \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b<\/strong> . <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"cuando-la-recta-esta-en-forma-de-otro-tipo-de-ecuacion\"><\/span> \u041a\u043e\u0433\u0434\u0430 \u043b\u0438\u043d\u0438\u044f \u0438\u043c\u0435\u0435\u0442 \u0444\u043e\u0440\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0442\u0438\u043f\u0430<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041a\u043e\u0433\u0434\u0430 \u043b\u0438\u043d\u0438\u044f \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c, \u043e\u0442\u043b\u0438\u0447\u043d\u044b\u043c \u043e\u0442 \u043d\u0435\u044f\u0432\u043d\u043e\u0433\u043e, \u0431\u0443\u0434\u044c \u0442\u043e \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435, \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0438\u043b\u0438 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435, \u043f\u0440\u0435\u0434\u043f\u043e\u0447\u0442\u0438\u0442\u0435\u043b\u044c\u043d\u0435\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u0435\u0442\u043e\u0434, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c \u043d\u0438\u0436\u0435.<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0435\u0441\u043b\u0438 \u043b\u0438\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u043d\u0430 \u0432 \u0432\u0438\u0434\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \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 \u0438\u043b\u0438 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043c\u044b \u0437\u043d\u0430\u0435\u043c \u0442\u043e\u0447\u043a\u0443, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0443\u044e \u043f\u0440\u044f\u043c\u043e\u0439, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0435\u0435 \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\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-a5a0fe0918b9eb196b470ffde6dffb81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{v}}_r \\\\[2ex] P\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"60\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u044b\u0439 (\u0438\u043b\u0438 \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0439) \u0432\u0435\u043a\u0442\u043e\u0440 \u043a \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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-123a18c0a20e53d6401b932e47192df0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n} \\perp \\pi\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0417\u0430\u0442\u0435\u043c, \u0438\u0441\u0445\u043e\u0434\u044f \u0438\u0437 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \u0438 \u0442\u043e\u0447\u043a\u0438 \u043b\u0438\u043d\u0438\u0438, \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<ul style=\"color:#ff6f00; font-weight: bold;list-style-type:disc\">\n<li> <span style=\"color:#000000;font-weight: normal;\">\u0415\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\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u043e\u0440\u043c\u0430\u043b\u0438 \u043a \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043e\u0442\u043b\u0438\u0447\u043d\u043e \u043e\u0442 \u043d\u0443\u043b\u044f, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043b\u0438\u043d\u0438\u044f \u0441\u0435\u043a\u0443\u0449\u0430\u044f \u043a \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438.<\/span>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-29625866e04f656f7067ec4fe6139bd9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r\\cdot \\vv{n} \\neq 0 \\ \\color{orange}\\longrightarrow \\color{black} \\ \\text{recta y plano secantes}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"388\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">\u041d\u043e \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\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u043e\u0440\u043c\u0430\u043b\u0438 \u043a \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e, \u0435\u0441\u0442\u044c \u0434\u0432\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438: \u043b\u0438\u043d\u0438\u044f \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442\u0441\u044f \u0432 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438\u043b\u0438 \u043e\u043d\u0438 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b. \u0418 \u0447\u0442\u043e\u0431\u044b \u0443\u0437\u043d\u0430\u0442\u044c, \u0432 \u043a\u0430\u043a\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u044d\u0442\u043e \u0442\u0430\u043a, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439 \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438.<\/span>\n<ul style=\"list-style-type:circle\">\n<li> <span style=\"color:#000000;font-weight: normal;\">\u0415\u0441\u043b\u0438 \u0442\u043e\u0447\u043a\u0430 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u043b\u0438\u043d\u0438\u044f \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442\u0441\u044f \u0432 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-67bea80768d5723b1a1a79404b6dad60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c} \\vv{\\text{v}}_r\\cdot \\vv{n} = 0\\\\[2ex]P \\in \\pi   \\end{array} \\right\\}  \\color{orange}\\longrightarrow \\color{black}\\ \\text{recta contenida en el plano}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"448\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<li> <span style=\"color:#000000;font-weight: normal;\">\u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u0442\u043e\u0447\u043a\u0430 \u043d\u0435 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u043b\u0438\u043d\u0438\u044f \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1eccf7b373d59c89e835ae6c64e3d980_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c} \\vv{\\text{v}}_r\\cdot \\vv{n} = 0\\\\[2ex] P \\ \\cancel{\\in} \\ \\pi \\end{array} \\right\\} \\color{orange}\\longrightarrow \\color{black} \\ \\text{recta y plano paralelos}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"415\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/ul>\n<\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\"> \u041f\u0440\u0438\u043c\u0435\u0440 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0432\u0437\u0430\u0438\u043c\u043d\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432<\/h4>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043c\u044b \u043e\u0437\u043d\u0430\u043a\u043e\u043c\u0438\u043b\u0438\u0441\u044c \u0441 \u0442\u0435\u043e\u0440\u0438\u0435\u0439 \u044d\u0442\u043e\u0433\u043e \u043c\u0435\u0442\u043e\u0434\u0430, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0442\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043f\u043e\u044d\u0442\u0430\u043f\u043d\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435:<\/p>\n<ul>\n<li> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e:<\/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-7df9c39f91ee48f9c11804e81a7cb57a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}x=2-3t \\\\[1.7ex] y=-1+2t \\\\[1.7ex] z=-2t\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"137\" 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-d98be29c4b72b8126b336e9fb89ddf78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi : \\ 2x+y-2z-3=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"184\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0412\u043e-\u043f\u0435\u0440\u0432\u044b\u0445, \u043b\u0438\u043d\u0438\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u0430\u043a \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \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 \u0438 \u0442\u043e\u0447\u043a\u0430, \u0447\u0435\u0440\u0435\u0437 \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043e\u043d\u0430 \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442, \u0440\u0430\u0432\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-c38a901be64fc1a358200bc95c6cafc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{v}}_r =(-3,2,-2) \\\\[2ex] P(2,-1,0) \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"168\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418, \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u043e\u0440\u043c\u0430\u043b\u0438 \u043a \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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-3d1147a5141ab6b378f2cc901e565685_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n} =(2,1,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" 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 \u043b\u0438\u043d\u0438\u0438 \u0438 \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u043e\u0440\u043c\u0430\u043b\u0438 \u043a \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\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-cffc4ca748ea137ce81d1cb185c28b1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\vv{\\text{v}}_r \\cdot \\vv{n} &amp; = (-3,2,-2) \\cdot (2,1,-2) \\\\[2ex] &amp; = -3 \\cdot 2+2 \\cdot 1 -2\\cdot (-2) \\\\[2ex] &amp;= -6 +2 +4 \\\\[2ex] &amp; = 0\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"140\" width=\"240\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043b\u0438\u043d\u0438\u044f \u043c\u043e\u0436\u0435\u0442 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u044c\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u0432 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438\u043b\u0438 \u0431\u044b\u0442\u044c \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e\u0439 \u0435\u0439. \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u044f\u0441\u043d\u0438\u0442\u044c, \u043a\u0430\u043a\u043e\u0439 \u044d\u0442\u043e \u0441\u043b\u0443\u0447\u0430\u0439, \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0434\u0435\u043a\u0430\u0440\u0442\u043e\u0432\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439 \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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-90c28414930db38453e927e36128fccd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+y-2z-3=0 \\ \\xrightarrow{P(2,-1,0)} \\ 2\\cdot 2 -1 -2 \\cdot 0 -3 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"422\" 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-65009666a542c5d85d27cde1024f9c7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4- 1 -0 -3 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"133\" 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-bb23fb46aaefcb8f5b4dfd612098620b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u044f \u0442\u043e\u0447\u043a\u0443 \u043f\u0440\u044f\u043c\u043e\u0439 \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0442\u043e\u0447\u043a\u0430 \u043f\u043e\u0434\u0447\u0438\u043d\u044f\u0435\u0442\u0441\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044e \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u043f\u0440\u044f\u043c\u0430\u044f \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442\u0441\u044f \u0432 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438<\/strong> .<\/p>\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 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438. \u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c \u0432\u0430\u043c, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e (2 \u043c\u0435\u0442\u043e\u0434\u0430), \u0430 \u0442\u0430\u043a\u0436\u0435 \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u041a\u0430\u043a\u043e\u0432\u044b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e? \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0442\u044c \u0432\u0441\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e, \u043d\u0430\u043c, \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%be%d1%82%d0%bd%d0%be%d1%81%d0%b8%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d0%be%d0%b5-%d0%bf%d0%be%d0%bb%d0%be%d0%b6%d0%b5%d0%bd%d0%b8%d0%b5-%d0%bf%d1%80%d1%8f%d0%bc%d0%be%d0%b8-%d0%b8-%d0%bf%d0%bb%d0%be\/\"> <span class=\"screen-reader-text\">\u041e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438<\/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":[15],"tags":[],"class_list":["post-274","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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content=\"\u041e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u2014 \u041c\u0430\u0442\u043e\u0440\u043d\u043e\u0441\u0442\u044c\" \/>\n<meta property=\"og:description\" content=\"\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043b\u0438\u043d\u0438\u0438 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438. \u041c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c \u0432\u0430\u043c, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e (2 \u043c\u0435\u0442\u043e\u0434\u0430), \u0430 \u0442\u0430\u043a\u0436\u0435 \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u041a\u0430\u043a\u043e\u0432\u044b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e? \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0442\u044c \u0432\u0441\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043b\u0438\u043d\u0438\u0435\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e, \u043d\u0430\u043c, \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, &hellip; \u041e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043f\u0440\u044f\u043c\u043e\u0439 \u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;\" \/>\n<meta property=\"og:url\" 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