Fundamentals of Engineering Electromagnetics 1st Edition by David Cheng

تمرين 38

Equation (2-15) in Example 2-2 describes the scalar triple products of three vectors A, B, and C. There is another important type of product of three vectors. It is a vector triple product, A × (B × C). Prove the following relation by expansion in Cartesian coordinates:
A × (B × C) = B(A · C)-C(A · B). (2-113)
Equation (2-113) is known as the "BAC-CAB" rule.