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The vector triple product is defined as the cross product of one vector with the cross product of the other two. The following relationship holds: ... Download as PDF ...
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The following are important identities in vector algebra.Identities that only involve the magnitude of a vector ‖ ‖ and the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension, while identities that use the cross product (vector product) A×B only apply in three dimensions, since the cross product is only defined there.
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The cross product and triple product in three dimensions each admit both geometric and algebraic interpretations. The cross product u × v can be interpreted as a vector which is perpendicular to both u and v and whose magnitude is equal to the area of the parallelogram determined by the two vectors.
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Download as PDF; Printable version; ... The scalar triple product of three vectors is defined as ... The vector triple product is defined by [2] [3] ...