Either a scalar product or a vector product each having three components. A scalar triple product is obtained by multiplying three vectors a, b, and c in the manner a.(b×c); the result is a scalar. If the three vectors represent the positions of three points with respect to the origin, the magnitude of the scalar triple product is the volume of the parallelepiped with corners at the three points and the origin. A vector triple product is obtained by multiplying three vectors a, b, and c in the manner ×(b×c); the result is a vector. It also equals (a.c)b − (a.b)c (but note it does not equal (a×b)×c).