Study guide and 1 practice problem on:

## Cross products of i, j, and k

$\bfi \times \bfj = \bfk$, $\quad \bfj \times \bfk = \bfi$, $\quad \bfk \times \bfi = \bfj$.

$\bfj \times \bfi = -\bfk$, $\quad \bfk \times \bfj = -\bfi$, $\quad \bfi \times \bfk = -\bfj$.
Note that the coefficient of the cross product is positive if the order of the vectors is given by $\bfi \to \bfj \to \bfk \to \bfi$. It is negative if the order of the vectors is in the opposite order.