Answer
$\langle4.0958,-2.8679\rangle$
Work Step by Step
$u=\langle a,b\rangle=\langle |u|\cos\theta,|u|\sin\theta\rangle$
Substitute $|u|=5$ and $\theta=-35^\circ$:
$\langle a,b\rangle=\langle5\cos (-35^\circ),5\sin(-35^\circ)\rangle $
$\langle a,b\rangle =\langle4.0958,-2.8679\rangle$