There are a number of standard facts about the cross-product we should make clear. The other part of the result is essentially the same. The proof of this is a pretty messy calculation. But, the cross-product is at least a vector. At least that rule is the same.
Distributive law works.
That says, not equal . There is a formula for the left-hand side in the book, but it is not really useful. However, you should be careful about the fact that the regular associative law does not hold . This formula is often called the scalar triple product of the vectors A , B , and C .