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vector product

/ˈvektə ˈprɒdʌkt/

1 entry

phrase

/ˈvektə ˈprɒdʌkt/C1formalscientific
  • ruМатематическая операция над двумя векторами в трёхмерном пространстве, результатом которой является третий вектор, перпендикулярный плоскости, содержащей исходные векторы, с величиной, равной произведению их длин и синуса угла между ними.

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.

    ruВекторное произведение

    • 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.