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Консультация № 199453
28.10.2020, 13:25
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Задание №7 Вычислить объем тетраэдра
Задание №7 Вычислить объем тетраэдра
Обсуждение
02.11.2020, 08:36
общий
это ответ
Здравствуйте, alekseyslobodyanyuk20003!
Объём параллелепипеда, построенного на трёх векторах с общим началом, будет равен модулю их смешанного произведения, объём же построенного на этих же векторах тетраэдра будет в шесть раз меньше. Взяв, например, вектора
найдём их смешанное произведение:
тогда объём тетраэдра составит V = |-300|/6 = 50.
Объём параллелепипеда, построенного на трёх векторах с общим началом, будет равен модулю их смешанного произведения, объём же построенного на этих же векторах тетраэдра будет в шесть раз меньше. Взяв, например, вектора
найдём их смешанное произведение:
тогда объём тетраэдра составит V = |-300|/6 = 50.
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