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vector product

/ˈvektə ˈprɒdʌkt/

翻译: 数学中在三维空间里对两个向量进行的运算,结果是一个同时垂直于这两个向量的向量,其大小等于两向量长度与它们夹角正弦的乘积。

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phrase

/ˈvektə ˈprɒdʌkt/C1formalscientific
  • zh数学中在三维空间里对两个向量进行的运算,结果是一个同时垂直于这两个向量的向量,其大小等于两向量长度与它们夹角正弦的乘积。

A mathematical operation on two vectors in three-dimensional space that produces a third vector perpendicular to the plane containing the original vectors, with magnitude equal to the product of their magnitudes and the sine of the angle between them.

  1. Cross product in mathematicsC2formal

    A binary operation on two vectors in three-dimensional space that results in a vector perpendicular to both original vectors, with magnitude equal to the area of the parallelogram they span.

    zh向量积

    • The vector product of two vectors yields a third vector orthogonal to the plane containing them.
    • In physics, the vector product is used to calculate torque from force and lever arm.
    • The magnitude of the vector product equals the product of the magnitudes of the two vectors and the sine of the angle between them.