{"id":69,"date":"2024-11-28T16:30:02","date_gmt":"2024-11-28T13:30:02","guid":{"rendered":"https:\/\/currconv.ru\/blog\/10061-2\/"},"modified":"2024-11-28T16:30:02","modified_gmt":"2024-11-28T13:30:02","slug":"10061","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/10061\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u2116228 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 2"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u0414\u0430\u043d\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u044b <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a} (-4;5)<\/span>, <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{b} (3;1)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{c} (2;8)<\/span>. \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f <span class=\"katex-eq\" data-katex-display=\"false\">(\\overrightarrow{a}-\\overrightarrow{b}) \\cdot \\overrightarrow{c}<\/span>.<\/p>\n<p><span id=\"more-10061\"><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/h2>\n<p>\u0420\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a}(x_1; y_1)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{b}(x_2; y_2)<\/span> \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{a} &#8212; \\overrightarrow{b}=x_1 &#8212; x_2 ; y_1 &#8212; y_2<\/span>. <\/p>\n<p>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430:<\/p>\n<p>\u041f\u0443\u0441\u0442\u044c <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{t}=\\overrightarrow{a}-\\overrightarrow{b}<\/span>:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\overrightarrow{t}=\\{-4-3; 5-1\\}=\\{-7;4\\}<\/span>.<\/p>\n<p>\u041f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{t} \\cdot \\overrightarrow{c}.<\/span><\/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 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{t}(x_1; y_1)<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{c}(x_2; y_2)<\/span> \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\overrightarrow{t} \\cdot \\overrightarrow{c}=x_1 x_2 + y_1 y_2<\/span>. <\/p>\n<p>\u041d\u0430\u0439\u0434\u0435\u043c \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\overrightarrow{t} \\cdot \\overrightarrow{c}= (\\overrightarrow{a}-\\overrightarrow{b}) \\cdot \\overrightarrow{c}=-7 \\cdot 2 + 4 \\cdot 8=-14+32=18.<\/span><\/p>\n<p><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">18<\/span>.<span class=\"MathJax\" id=\"MathJax-Element-4-Frame\" tabindex=\"0\" style=\"\"><nobr><span class=\"math\" id=\"MathJax-Span-24\" style=\"width: 1.2em; display: inline-block;\"><span style=\"display: inline-block; overflow: hidden; vertical-align: -0.053em; border-left: 0px solid; width: 0px; height: 0.892em;\"><\/span><\/span><\/nobr><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<p><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong> \u041e\u0442\u043a\u0440\u044b\u0442\u044b\u0439 \u0431\u0430\u043d\u043a \u0437\u0430\u0434\u0430\u0447 \u0415\u0413\u042d \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 (\u0417\u0430\u0434\u0430\u043d\u0438\u0435 \u2116509699)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0414\u0430\u043d\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u044b \\overrightarrow{a} (-4;5), \\overrightarrow{b} (3;1) \u0438 \\overrightarrow{c} (2;8). \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f (\\overrightarrow{a}-\\overrightarrow{b}) \\cdot \\overrightarrow{c}. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0420\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \\overrightarrow{a}(x_1; y_1) \u0438 \\overrightarrow{b}(x_2; y_2) \u0440\u0430\u0432\u043d\u044f\u0435\u0442\u0441\u044f \\overrightarrow{a} &#8212; \\overrightarrow{b}=x_1 &#8212; x_2 ; y_1 &#8212; y_2. \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430: \u041f\u0443\u0441\u0442\u044c \\overrightarrow{t}=\\overrightarrow{a}-\\overrightarrow{b}: \\overrightarrow{t}=\\{-4-3; 5-1\\}=\\{-7;4\\}. \u041f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \\overrightarrow{t} \\cdot \\overrightarrow{c}. \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 \\overrightarrow{t}(x_1; y_1) \u0438 \\overrightarrow{c}(x_2; [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-69","post","type-post","status-publish","format-standard","hentry","category-zadanie2_profil"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/69","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/comments?post=69"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/69\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=69"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=69"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=69"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}