This was found in a textbook on classical mechanics so I thought it best to post it here rather then in the calc forum.

$\displaystyle \bold{b}\cdot\bold{v}=\lambda$

$\displaystyle \bold{b}\times\bold{v}=\bold{c}$

$\displaystyle \bold{b}$,$\displaystyle \bold{c}$,and $\displaystyle \lambda$ are known. Express $\displaystyle \bold{v}$ in their terms.

I can't think of which rules would give me an answer. Any help would be appreciated.