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Задать вопрос экспертам

Консультация № 191202

30.06.2017, 04:33

0.00 руб.

0 2 1

Образование

Здравствуйте! У меня возникли сложности с таким вопросом: 8. Даны вершины А1(X1; Y1; Z1), А2(X2; Y2; Z2), А3(X3; Y3; Z3), А4(X4; Y4; Z4). Средствами векторной алгебры найти:
o длину ребра А1 А2
o угол между ребрами А1 А2 и А1 А3
o площадь грани А1А2А3
o длину высоты пирамиды, проведенной из вершины А4
o уравнение высоты пирамиды, проведенной из вершины А4
o объем пирамиды А1А2А3А4
А1(3;6;1), А2(6;1;4), А3(3;-6;10), А4(7;5;4).

Обсуждение

давно

Елена Васильевна

Профессионал
398750
498

30.06.2017, 09:34

общий

Вам останется только подставить свои числа.
Я думаю Вы справитесь. По пунктам все расписано:
http://www.mathprofi.ru/treugolnaya_piramida.html

давно

Гордиенко Андрей Владимирович

Мастер-Эксперт
17387
18345

01.07.2017, 12:09

общий

это ответ

Здравствуйте, asdf1234!

(ед. длины) - длина ребра

- угол между рёбрами

и

(ед. площади) - площадь грани

Составим уравнение плоскости

по точке

и векторам

- общее уравнение плоскости

(ед. длины) - длина высоты, проведённой из вершины

- канонические уравнения высоты, проведённой из вершины

(ед. объёма),

или

(ед. объёма) - объём пирамиды

Об авторе:
Facta loquuntur.

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