Classical Dynamics of Particles and Systems · Problem 1-23

Newtonian Mechanics—Single Particle — Marion & Thornton

Physics — Mechanics · levi-civita-symbol

Problem

Use the

\varepsilon_{ijk}

notation and derive the identity

(\mathbf{A} \times \mathbf{B}) \times (\mathbf{C} \times \mathbf{D}) = (\mathbf{ABD})\mathbf{C} - (\mathbf{ABC})\mathbf{D}