ഊഊഊഊ ഊ ഊ ഊ Скалярное произведение векторов - задание №21ഊ ഊഊ ഊ
ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ
ഊ
ഊ Скалярное произведение векторов
ഊ
ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ ഊ
ഊ
ഊ
ഊ
ഊ Ортогональны ли указанные арифметические векторы.
ഊ
ഊ
ഊ
21.01.
ഊ
ഊ 		ഊ
= (–2, 4, 6, 8) и = (0, –1, 3, 5),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.02.
ഊ
ഊ 		ഊ
= (1, 2, –3, 4) и = (6, –2, 0, 0, 5),
ഊ
n = 4;
ഊ
ഊ
ഊ
21.03.
ഊ
ഊ 		ഊ
= (1, –3, 4, 6) и = (2, –1, 3, 0),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.04.
ഊ
ഊ 		ഊ
= (1, 1, 6, –3, 1) и = (5, 4, –3, 0, 1),
ഊ
n = 5;
ഊ
ഊ
ഊ
21.05.
ഊ
ഊ 		ഊ
= (1, 2, 3, –4) и = (0, 4, 0, 2),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.06.
ഊ
ഊ 		ഊ
= (2, 3, 4, –3, 2) и = (0, 3, 1, 3, –2),
ഊ
n = 5;
ഊ
ഊ
ഊ
21.07.
ഊ
ഊ 		ഊ
= (1, 2, –1, 3, 4, 0) и = (–1, 3, 2, 4, 6, 1),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.08.
ഊ
ഊ 		ഊ
=(7, –2, 0, 0, 1, 2) и = (2, –2, 7, 8, –10, –8),
ഊ
n = 6;
ഊ
ഊ
ഊ
21.09.
ഊ
ഊ 		ഊ
= (1, 2, 7, 1) и = (–2, 0, 1, 5),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.10.
ഊ
ഊ 		ഊ
= (1, –3, –4, –5) и = (3, 1, –5, 4),
ഊ
n = 4;
ഊ
ഊ
ഊ
21.11.
ഊ
ഊ 		ഊ
= (0, –2, 3, 4) и = (6, 3, –2, 1, 5),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.12.
ഊ
ഊ 		ഊ
= (2, 4, 1, 2, 6, 3) и = (–1, 2, 5, –2, –3),
ഊ
n = 5;
ഊ
ഊ
ഊ
21.13.
ഊ
ഊ 		ഊ
= (4, 2, 1, 3) и = (0, 5, –1, 3, –1),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.14.
ഊ
ഊ 		ഊ
= (4, –2, 1, 0, 3, 1) и = (–1, –4, –3, 0, 1, 1),
ഊ
n = 6;
ഊ
ഊ
ഊ
21.15.
ഊ
ഊ 		ഊ
= (–1, 0, 2, 0, 5, 2) и = (0, 1, 1, 5, 0, –1),
ഊ
n = 6;
ഊ 		ഊ
ഊ
21.16.
ഊ
ഊ 		ഊ
= (–3, 1, 2, 4, 5, 2) и = (–3, 2, 6, 1, 4, 6),
ഊ
n = 6;
ഊ
ഊ
ഊ
21.17.
ഊ
ഊ 		ഊ
= (2, 4, 3, 2) и = (–2, 1, 2, –3),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.18.
ഊ
ഊ 		ഊ
= (–2, 2, 2, 1, 1) и = (1, 1, 0, 2, –2),
ഊ
n = 5;
ഊ
ഊ
ഊ
21.19.
ഊ
ഊ 		ഊ
= (1, 2, –4, 3) и = (4, –2, 3, –4),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.20.
ഊ
ഊ 		ഊ
= (4, 1, 6, 0, 1, 3) и = (–2, 1, 3, 0, 1, 2),
ഊ
n = 6;
ഊ
ഊ
ഊ
21.21.
ഊ
ഊ 		ഊ
= (1, 2, 3, 4, 5) и = (5, 0, –5, 0, 2),
ഊ
n = 5;
ഊ 		ഊ
ഊ
21.22.
ഊ
ഊ 		ഊ
= (1, 7, –2, 3) и = (–4, 2, 3, –6),
ഊ
n = 4;
ഊ
ഊ
ഊ
21.23.
ഊ
ഊ 		ഊ
= (0, 2, 3, 1, –2) и = (6, 6, 0, –6, 3),
ഊ
n = 5;
ഊ 		ഊ
ഊ
21.24.
ഊ
ഊ 		ഊ
= (2, 3, –8, 6) и = (4, 1, –2, 1),
ഊ
n = 4;
ഊ
ഊ
ഊ
21.25.
ഊ
ഊ 		ഊ
= (–2, 1, 1, 1, 3) и = (4, 3, 2, 0, –2),
ഊ
n = 5;
ഊ 		ഊ
ഊ
21.26.
ഊ
ഊ 		ഊ
= (1, 2, 0, –4, 3) и = (1, –1, 1, –2, –5),
ഊ
n = 5;
ഊ
ഊ
ഊ
21.27.
ഊ
ഊ 		ഊ
= (5, 4, 3, 60) и = (7, 1, –8, –2),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.28.
ഊ
ഊ 		ഊ
= (1, 1, –2, –2, 0) и = (1, 1, 5, –1, 3),
ഊ
n = 5;
ഊ
ഊ
ഊ
21.29.
ഊ
ഊ 		ഊ
= (1, 2, 3, 4, 0, 2) и = (–1, 0, –2, –2, 1, 1),
ഊ
n = 6;
ഊ 		ഊ
ഊ
21.30.
ഊ
ഊ 		ഊ
= (7, 3, –4, 2) и = (3, –2, –6, 4),
ഊ
n = 4;
ഊ
ഊ
ഊ
21.31.
ഊ
ഊ 		ഊ
= (3, 2, 1, 10) и = (–2, 3, 4, 12),
ഊ
n = 4;
ഊ 		ഊ
ഊ
21.32.
ഊ
ഊ 		ഊ
= (–3, 5, 2, 0, 3) и = (5, 3, –3, 6, 2),
ഊ
n = 5;
ഊ
ഊ
ഊ
21.33.
ഊ
ഊ 		ഊ
= (4, 6, –2, 1, 5) и = (1, 3, –2, 1, 1),
ഊ
n = 5;
ഊ 		ഊ
ഊ
21.34.
ഊ
ഊ 		ഊ
= (1, 3, 23, 6, –1) и = (2, 1, 3, –1, 10),
ഊ
n = 5;
ഊ
ഊ
ഊ
21.35.
ഊ
ഊ 		ഊ
= (–1, 3, 2, 1, 0) и = (10, –2, 7, 2, 1),
ഊ
n = 5;
ഊ 		ഊ
ഊ
21.36.
ഊ
ഊ 		ഊ
= (4, 1, –3, 2, 1, 3) и = (1, 10, –2, –5, –4, –2),
ഊ
n = 6.
ഊ
ഊ
ഊ
ഊ 		ഊ
ഊ
ഊ
ഊ ഊ
ഊ
ഊ

ഊ ഊഊ㰡ⴭ⁧潯杬攠慮慬楳琠ⴭ㸍਼獣物灴㸍ਠ
晵湣瑩潮⡩ⱳⱯⱧⱲⱡⱭ⥻楛❇潯杬敁湡汹瑩捳佢橥捴❝㵲㭩孲崽楛牝籼晵湣瑩潮⠩笍ਠ
楛牝⹱㵩孲崮煼籛崩⹰畳栨慲杵浥湴猩紬楛牝⹬㴱⩮敷⁄慴攨⤻愽献捲敡瑥䕬敭敮琨漩Ⰽਠ㵳⹧整䕬敭敮瑳䉹呡李慭攨漩嬰崻愮慳祮挽ㄻ愮獲挽朻洮灡牥湴乯摥⹩湳敲瑂敦潲攨愬洩ഊ†紩⡷楮摯眬摯捵浥湴Ⱗ獣物灴✬❨瑴灳㨯⽷睷⹧潯杬攭慮慬祴楣献捯洯慮慬祴楣献橳✬❧愧⤻ഊഊ†条⠧捲敡瑥✬‧啁ⴱ㠳㐰㈰㜭ㄧⰠ❡畴漧⤻ഊ†条⠧獥湤✬‧灡来癩敷✩㬍਍਼⽳捲楰琾ഊ㰡ⴭ⁧潯杬攠慮慬楳琠ⴭ㸍਍਼ℭⵒ慴楮杀䵡楬⹲甠捯畮瑥爭ⴾഊ㱳捲楰琠污湧畡来㴢橡癡獣物灴∾㰡ⴭഊ搽摯捵浥湴㭶慲⁡㴧✻愫㴧㭲㴧⭥獣慰攨搮牥晥牲敲⤻橳㴱〻⼯ⴭ㸼⽳捲楰琾ഊ㱳捲楰琠污湧畡来㴢橡癡獣物灴ㄮㄢ㸼ℭⴍ੡⬽✻樽✫湡癩条瑯爮橡癡䕮慢汥搨⤻橳㴱ㄻ⼯ⴭ㸼⽳捲楰琾ഊ㱳捲楰琠污湧畡来㴢橡癡獣物灴ㄮ㈢㸼ℭⴍੳ㵳捲敥渻愫㴧㭳㴧⭳⹷楤瑨⬧⨧⭳⹨敩杨琻ഊ愫㴧㭤㴧⬨献捯汯牄数瑨㽳⹣潬潲䑥灴栺献灩硥汄数瑨⤻橳㴱㈻⼯ⴭ㸼⽳捲楰琾ഊ㱳捲楰琠污湧畡来㴢橡癡獣物灴ㄮ㌢㸼ℭⴍ੪猽ㄳ㬯⼭ⴾ㰯獣物灴㸼獣物灴慮杵慧攽≪慶慳捲楰琢⁴祰攽≴數琯橡癡獣物灴∾㰡ⴭഊ搮睲楴攨✼愠桲敦㴢桴瑰㨯⽴潰⹭慩氮牵⽪畭瀿晲潭㴱㤰㜸㌳∠瑡牧整㴢彴潰∾✫ഊ✼業朠獲挽≨瑴瀺⼯摣⹣ㄮ扤⹡ㄮ瑯瀮浡楬⹲甯捯畮瑥爿楤㴱㤰㜸㌳㭴㴹㤻橳㴧⭪猫ഊ愫✻牡湤㴧⭍慴栮牡湤潭⠩⬧∠慬琽∿㼿㼿㼿䁍慩氮牵∠扯牤敲㴢〢‧⬍ਧ桥楧桴㴢ㄸ∠睩摴栽∸㠢㸼尯愾✩㭩昨ㄱ㱪猩搮睲楴攨✼✫✡ⴭ‧⤻⼯ⴭ㸼⽳捲楰琾ഊ㱮潳捲楰琾㱡⁴慲来琽≟瑯瀢⁨牥昽≨瑴瀺⼯瑯瀮浡楬⹲甯橵浰㽦牯洽ㄹ〷㠳㌢㸍਼業朠獲挽≨瑴瀺⼯摣⹣ㄮ扤⹡ㄮ瑯瀮浡楬⹲甯捯畮瑥爿橳㵮愻楤㴱㤰㜸㌳㭴㴹㤢‍੨敩杨琽∱㠢⁷楤瑨㴢㠸∠扯牤敲㴢〢⁡汴㴢㼿㼿㼿㽀䵡楬⹲產㸼⽡㸼⽮潳捲楰琾ഊ㱳捲楰琠污湧畡来㴢橡癡獣物灴∠瑹灥㴢瑥硴⽪慶慳捲楰琢㸼ℭⴍ੩昨ㄱ㱪猩搮睲楴攨✭ⴧ⬧㸧⤻⼯ⴭ㸼⽳捲楰琾ഊ㰡ⴭ⼯⁒慴楮杀䵡楬⹲甠捯畮瑥爭ⴾഊ†††††††††㱄䥖⁩搽摩癍敮甠执捯汯爽⍦ㅦㅦㄠ獴祬攽≖䥓䥂䥌䥔夺⁶楳楢汥㬠坉䑔䠺‱ば砻⁐体䥔䥏为⁡扳潬畴攻⁔佐㨠㄰灸㬠䡅䥇䡔㨠㄰灸∾ഊ†††††††††㱴慢汥⁢杣潬潲㴣昱昱昱⁣敬汓灡捩湧㴱⁣敬汐慤摩湧㴱⁷楤瑨㴢㄰〥∠䡥楧桴㴢㄰〥∠扯牤敲㴰⁳瑹汥㴢扯牤敲㨱灸‣捣捣捣⁳潬楤㬢㸼瑲㸼瑤⁳瑹汥㴢睩摴栺㌰ば砻‍੨敩杨琺㈵ば砻⁢潲摥爺ㅰ砠⍣捣捣挠獯汩搻∾ഊ㱳捲楰琠瑹灥㴢瑥硴⽪慶慳捲楰琢㸼ℭⴍ੧潯杬敟慤彣汩敮琠㴠≰畢ⴷ㠷㈱㌱㈹ㄴ㐴ㄹ㤢㬍ਯ⨠㌰へ㈵〬‿㼿㼿㼿‱㌮〹⸱〠⨯ഊ杯潧汥彡摟獬潴‽•㔰㐷ㄱ㌲〲∻ഊ杯潧汥彡摟睩摴栠㴠㌰〻ഊ杯潧汥彡摟桥楧桴‽′㔰㬍ਯ⼭ⴾഊ㰯獣物灴㸍਼獣物灴⁴祰攽≴數琯橡癡獣物灴∍ਾ㰯獣物灴㸍਼ℭⴠ奡湤數⹒呂⁒ⵁⴱㄹㄱ㌶〭㈠ⴭ㸍਼摩瘠楤㴢祡湤數彲瑢归ⵁⴱㄹㄱ㌶〭㈢㸼⽤楶㸍਼獣物灴㸍੷楮摯眮祡䍯湴數瑃戮灵獨⠨⤠㴾⁻ഊ††奡⹃潮瑥硴⹁摶䵡湡来爮牥湤敲⡻ഊ††††≢汯捫䥤∺•刭䄭ㄱ㤱ㄳ㘰ⴲ∬ഊ††††≲敮摥牔漢㨠≹慮摥硟牴扟刭䄭ㄱ㤱ㄳ㘰ⴲ∍ਠ†⁽⤍੽⤍਼⽳捲楰琾㰯瑤㸼⽴爾ഊ㱔刾㱔䐠慬楧渽捥湴敲⁨敩杨琽㈰灸⁢杣潬潲㴣挴挴挴㸼愠捬慳猽牥搠桲敦㴢⌢湣汩捫㴢扣汯獥⠩㬠牥瑵牮⁦慬獥㬢‾㱢㻇㰯戾㰯愾㰯呄㸼⽔刾ഊ㰯瑡扬放ഊ㰯䑉嘾ഊ†††††††㱓䍒䥐吾ഊ††ഊ०畮捴楯渠扣汯獥⠩ഊॻഊउ摩癍敮甮獴祬攮摩獰污礠㴠❮潮攧㬍ਉ納ਠ†‍਍੶慲⁩獄位‽
摯捵浥湴⹧整䕬敭敮瑂祉搠㼠瑲略›⁦慬獥⤻ഊ癡爠楳䥅㐠㴠⠨摯捵浥湴⹡汬…☠Ⅹ獄位⤠㼠瑲略›⁦慬獥⤻ഊ癡爠楳乓㐠㴠⡤潣畭敮琮污祥牳‿⁴牵攠㨠晡汳攩㬍੶慲⁩獎匠㴠湡癩条瑯爮慰灎慭攠㴽•乥瑳捡灥∻ഊഊ晵湣瑩潮⁧整剥昨楤⤠笍ਉ楦
楳䑏䴩⁲整畲渠摯捵浥湴⹧整䕬敭敮瑂祉搨楤⤻ഊ३映⡩獉䔴⤠牥瑵牮⁤潣畭敮琮慬汛楤崻ഊ३映⡩獎匴⤠牥瑵牮⁤潣畭敮琮污祥牳孩摝㬍੽ഊഊ晵湣瑩潮潶敒楧桴䕤来⠩⁻ഊॶ慲⁹䵥湵䙲潭Ⱐ祍敮畔漬⁹佦晳整Ⱐ瑩浥潵瑎數瑃桥捫※ഊഊഊ३映⡩獎匴⤠笍ਉॹ䵥湵䙲潭†‽⁤楶䵥湵⹴潰㬍ਉॹ䵥湵呯††‽⁷楮摯睳⹰慧教佦晳整‫‱㌷㬠‍ਉ素敬獥⁩映⡩獄位⤠笍ਉॹ䵥湵䙲潭†‽⁰慲獥䥮琠⡤楶䵥湵⹳瑹汥⹴潰Ⱐ㄰⤻ഊउ祍敮畔漠††㴠⡩獎匠㼠睩湤潷⹰慧教佦晳整›⁤潣畭敮琮扯摹⹳捲潬汔潰⤠⬠㈰㬠 ⽓灥捩晹⁴桥⁤楳瑡湣攠潦⁴桥†䙬潡瑩湧⁏扪散琠晲潭⁴潰⸍ਉ納ਉ瑩浥潵瑎數瑃桥捫‽‵〻ഊഊ३映⡹䵥湵䙲潭‡㴠祍敮畔漩⁻ഊउ祏晦獥琠㴠䵡瑨⹣敩氨䵡瑨⹡扳⡹䵥湵呯‭⁹䵥湵䙲潭⤠⼠㈰⤻⼯印散楦礠瑨攠晬潡瑩湧⁓灥敤⁨楧栽〬獬潷㴵〰⸠整挠ഊउ楦
祍敮畔漠㰠祍敮畆牯洩ഊउॹ佦晳整‽‭祏晦獥琻ഊउ楦
楳乓㐩ഊउ।楶䵥湵⹴潰‫㴠祏晦獥琻ഊउ敬獥⁩映⡩獄位⤍ਉउ摩癍敮甮獴祬攮汥晴‽†㈰㬯⽓灥捩晩敳⁴桥⁤楳瑡湣攠潦⁴桥⁦汯慴楮朠潢橥捴⁦牯洠汥晴⸠ഊउऍਉउ摩癍敮甮獴祬攮瑯瀠㴠灡牳敉湴
摩癍敮甮獴祬攮瑯瀬‱〩‫⁹佦晳整㬍ਉउ瑩浥潵瑎數瑃桥捫‽‰㬠⼯印散楦楥猠瑨攠獰敥搠潦⁲敡捴楯渠⸍ਉ納ਉ獥瑔業敯畴
≭潶敒楧桴䕤来⠩∬⁴業敯畴乥硴䍨散欩㬍੽ഊഊ楦
楳乓㐩⁻ഊॶ慲⁤楶䵥湵‽⁤潣畭敮瑛≤楶䵥湵≝㬍ਉ摩癍敮甮瑯瀠㴠瑯瀮灡来奏晦獥琠⬠〻ഊ।楶䵥湵⹶楳楢楬楴礠㴠≶楳楢汥∻ഊ७潶敒楧桴䕤来⠩㬍੽⁥汳攠楦
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