Answer
$$\mathbf{v}=\left(-\sqrt{3},1\right)$$
Work Step by Step
$\|\mathbf{v}\|=2\hspace{5mm}\theta=150^\circ$
$\mathbf{v}_x=\|\mathbf{v}\|\cos{\theta}=2\cos{150^\circ}=-2\times\frac{\sqrt{3}}{2}=-\sqrt{3}$
$\mathbf{v}_y=\|\mathbf{v}\|\sin{\theta}=2\sin{150^\circ}=2\times\frac{1}{2}=1$
$$\mathbf{v}=\left(-\sqrt{3},1\right)$$
