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Консультация № 200932
23.05.2021, 21:40
0.00 руб.
0
2
2
Здравствуйте! Прошу помощи в следующем вопросе:
Даны точки A (-1; -3; 2), B (5; -1; -1), C (3; 0; 2).
а) Найдите координаты и модуль вектора BA;
б) Найдите координаты точки D, если векторAD = векторBC.
Даны точки A (-1; -3; 2), B (5; -1; -1), C (3; 0; 2).
а) Найдите координаты и модуль вектора BA;
б) Найдите координаты точки D, если векторAD = векторBC.
Обсуждение
23.05.2021, 22:18
общий
это ответ
а) Из координат конца (точки А) вычтем координаты начала (точки В), получаем:
вектор ВА= (-1 - 5; -3 - (-1); 2 - (-1))) = (-6; -2; 3).
|ВА| = sqrt( (-6)2 + 22 + 32 )= sqrt(36 + 4 +9) = sqrt(49) =7
ОТВЕТ: ВА= (-6; -2; 3); |ВА| = 7.
б) вектор АD = вектор BC
Опять же, чтобы найти координаты каждого из векторов из координат его конца следует вычесть координаты начала.
Пусть (x; y; z) - координаты точки D.
Тогда, находя координаты каждого вектора и приравнивая их, получаем:
x - (-1) = 3 - 5
y - (-3) = 0 - (-1)
z -2 = 2 - (-1)
Откуда находим: x = -3, y = -2, z = 5
ОТВЕТ: (-3; -2; 5).
вектор ВА= (-1 - 5; -3 - (-1); 2 - (-1))) = (-6; -2; 3).
|ВА| = sqrt( (-6)2 + 22 + 32 )= sqrt(36 + 4 +9) = sqrt(49) =7
ОТВЕТ: ВА= (-6; -2; 3); |ВА| = 7.
б) вектор АD = вектор BC
Опять же, чтобы найти координаты каждого из векторов из координат его конца следует вычесть координаты начала.
Пусть (x; y; z) - координаты точки D.
Тогда, находя координаты каждого вектора и приравнивая их, получаем:
x - (-1) = 3 - 5
y - (-3) = 0 - (-1)
z -2 = 2 - (-1)
Откуда находим: x = -3, y = -2, z = 5
ОТВЕТ: (-3; -2; 5).
5
Спасибо!
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