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Здравствуйте! Прошу помощи в следующем вопросе: Заранее благодарю Вас!
8. Даны вершины А1(3;6;1), А2(6;1;4), А3(3;-6;10), А4(7;5;4). 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
Чтобы вывести уравнение высоты пирамиды, проведённой из вершины нужно сначала вывести общее уравнение плоскости Нормальный вектор этой плоскости будет направляющим вектором высоты.
уравнение высоты пирамиды, проведенной из вершины А4. Объем пирамиды А1А2А3А4
Не могу разобраться
Вы не знали, как выполнить два последних пункта задания.
В мини-форуме консультации я Вам сообщил:
Чтобы вывести уравнение высоты пирамиды, проведённой из вершины нужно сначала вывести общее уравнение плоскости Нормальный вектор этой плоскости будет направляющим вектором высоты.
Общее уравнение плоскости можно не выводить. Её нормальным вектором будет, например, вектор
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нужно сначала вывести общее уравнение плоскости 
Нормальный вектор этой плоскости будет направляющим вектором высоты.
Denis 
Гордиенко Андрей Владимирович