Cross product.

• February 10th 2011, 10:51 PM
An idea might be to start by defining $\displaystyle \mathbf{b} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}$ so that you can get expressions for $\displaystyle \mathbf{a}\cdot\mathbf{b}$ and $\displaystyle \mathbf{a}\times\mathbf{b}$, which you then should be able to solve simultaneously for $\displaystyle x,y,z$...