Answer
a) $\cos \theta=\frac{\textbf{u}\cdot\textbf{v}}{|\textbf{u}||\textbf{v}|}$
b) perpendicular.
Work Step by Step
$\cos \theta=\frac{\textbf{u}\cdot\textbf{v}}{|\textbf{u}||\textbf{v}|}$
If $\textbf{u}\cdot\textbf{v}$=0, this implies that $\cos \theta= 0$. $\cos \theta$ is 0 when $\theta= 90^{\circ}$, that is, when the vectors are perpendicular.