Triple Scalar Product


Triple Scalar Product :

The scalar A . (B x C) written (ABC) or [ABC], where A, B, and C are any three vectors. The dot denotes a scalar product and the cross a vector product When A, B, and C are written in terms of their components along the x, y, and z axes of the rectangular Cartesian coordinates, i.e., A = axi + aj + a3k, B = bx + b^ + b3k and C = cx i + + c3k, the triple scalar product is the determinant: (ABC) = (CAB) = (BCA) = Any cyclic change among the vectors in a triple product does not alter its value. N.B. Refer to source to verify equation(s)

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