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The scalar triple product of three vectors , , and is the dot product of one vector with the cross product of the other two. Technically, it does not produce a scalar but a pseudoscalar, as reversing the direction of one of the vectors will change the sign of the scalar.

Properties

  • A parallelepiped whose edges are formed by the vectors , , and will have a volume equal to the scalar triple product of the three vectors.
  • If any of the vectors are identical, the scalar triple product will be zero.

See also

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