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Консультация № 137536
19.05.2008, 17:18
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Уважаемые эксперты! Помогите, пожалуйста, решить задачу по высшей математике...
Задача: Сделать вывод уравнения плоскости, проходящей через заданые точки: М1(0,-1,-1); М2(-2,3,5); М3(1,-5,-9);
Добавляйте коментарии к вычеслениям...
Заранее спасибо...
Задача: Сделать вывод уравнения плоскости, проходящей через заданые точки: М1(0,-1,-1); М2(-2,3,5); М3(1,-5,-9);
Добавляйте коментарии к вычеслениям...
Заранее спасибо...
Обсуждение
Неизвестный
19.05.2008, 20:53
общий
это ответ
Здравствуйте, Уманский Денис!
Составим определитель (далее пишу три его строки):
(х-0) (у-(-1)) (Z-(-1))
(-2-0) (3-(-1)) (5-(-1))
(1-0) (-5-(-1)) (-9-(-1))
Приравняем к нулю значение этого определителя:
х*4*(-8) + (-2)*(-4)*(z+1) + 1*6*(y+1) - 1*4*(z+1) - (-2)*(-8)*(y+1) - (-4)*6*x = 0
-8x - 10*(y+1) + 4*(z+1) = 0
-8x - 10y + 4z -6 = 0
Составим определитель (далее пишу три его строки):
(х-0) (у-(-1)) (Z-(-1))
(-2-0) (3-(-1)) (5-(-1))
(1-0) (-5-(-1)) (-9-(-1))
Приравняем к нулю значение этого определителя:
х*4*(-8) + (-2)*(-4)*(z+1) + 1*6*(y+1) - 1*4*(z+1) - (-2)*(-8)*(y+1) - (-4)*6*x = 0
-8x - 10*(y+1) + 4*(z+1) = 0
-8x - 10y + 4z -6 = 0
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