## Proof That Sum of Three Cycling Triple Products is Zero

Theorem

For any three vectors (1)

Proof

Use the identitywith each of the three terms in equation (1) to give

Adding these – using the face thatetc - gives

Theorem

For any three vectors (1)

Proof

Use the identitywith each of the three terms in equation (1) to give

Adding these – using the face thatetc - gives