Proof That Sum of Three Cycling Triple Products is Zero
Theorem
For any three vectors
(1)
Proof
Use the identity
with each of the three terms in equation (1) to give
Adding these – using the face that
etc - 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