
562 Appendix 1
A1.1.4.3 Tensor Product
The product of A and B together without a dot or cross between, that is, AB, is called a dyadic. We see
that, in general, this product has nine terms and that each term consists of a scalar coefcient multiplied
by a pair of unit vectors. As we will not use this product in this book, we shall not discuss it further.
A1.1.4.4 Triple Scalar Product A ∙ (B × C)
We now briey discuss the scalar A ∙ (B × C). This scalar represents the volume of the parallelepi-
ped formed by the coterminous sides A, B, C because
A ∙ (B × C) = ABC sinθ cosα = hS = volume
where S is the area of the parallelogram with sides B and ...