Introduction to Electrodynamics · Problem 1.2

Vector Analysis — David J. Griffiths

Physics · vector-algebra

Problem

Is the cross product associative?

(\mathbf{A} \times \mathbf{B}) \times \mathbf{C} \stackrel{?}{=} \mathbf{A} \times (\mathbf{B} \times \mathbf{C})

. If so, *prove* it; if not, provide a counterexample (the simpler the better).