For the same reason, the-- > The cross product of two vectors does not obey the cancellation law.
2.
Both the rearrangement property and the cancellation law ( under the generalized form mentioned above ) are still satisfied and can be utilized.
3.
We can prove the cancellation law easily using Euclid's lemma, which generally states that if a prime divides a product ( where and are integers ), then must divide or.