Answer
$\langle\frac{5\sqrt 3}{2},\frac{5}{2} \rangle$
Work Step by Step
$u=\langle a,b\rangle=\langle |u|\cos\theta,|u|\sin\theta\rangle$
Substitute $|u|=5$ and $\theta=30^\circ$:
$\langle a,b\rangle=\langle5\cos 30^\circ,5\sin30^\circ\rangle $
$\langle a,b\rangle =\langle\frac{5\sqrt 3}{2},\frac{5}{2} \rangle$
