Unit 13.1 Worked Example 4
Given two vectors $\mathbf{a}=2\mathbf{i}+\mathbf{j}-2\mathbf{k}$ and $\mathbf{b}=\mathbf{j}+3\mathbf{k}$, find:
(i)
a unit vector perpendicular to both $\mathbf{a}$ and $\mathbf{b}$.
(ii)
the exact value of $\sin \theta$, where $\theta$ is the angle between $\mathbf{a}$ and $\mathbf{b}$.
