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Консультация № 190427
14.01.2017, 13:23
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Здравствуйте! Прошу помощи в следующем вопросе:
Параллелограмм построен на векторах а и в . Вычислить площадь параллелограмма
Параллелограмм построен на векторах а и в . Вычислить площадь параллелограмма
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Обсуждение
15.01.2017, 03:34
общий
это ответ
Здравствуйте, Stofa!
Площадь параллелограмма, построенного на векторах a и b, равна модулю векторного произведения этих векторов. В данном случае
Здесь использована формула для вычисления модуля векторного произведения:
а также следующие свойства векторного произведения:
1) произведение вектора с самим собой равно 0:
2) при перестановке сомножителей знак произведения изменяется на противоположный:
3) постоянный множитель можно вынести за скобки:
Площадь параллелограмма, построенного на векторах a и b, равна модулю векторного произведения этих векторов. В данном случае
Здесь использована формула для вычисления модуля векторного произведения:
а также следующие свойства векторного произведения:
1) произведение вектора с самим собой равно 0:
2) при перестановке сомножителей знак произведения изменяется на противоположный:
3) постоянный множитель можно вынести за скобки:
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