Answer
$\lt \dfrac{-7\sqrt 3}{4}, \dfrac{7}{4} \gt $
Work Step by Step
We are given that $||\overrightarrow{v}|| = \dfrac{7}{2}$ and that:
$ \theta = 150^{\circ}$
We know that $v=||v|| \lt \cos \theta , \sin \theta \gt $
Thus, $v=\dfrac{7}{2} \lt \cos 150^{\circ} , \sin 150^{\circ} \gt \\=\dfrac{7}{2} \lt -\cos 30^{\circ}, \sin 30^{\circ} \gt \\= \dfrac{7}{2} \lt -\dfrac{\sqrt 3}{2}, \dfrac{1}{2} \gt \\ =\lt \dfrac{-7\sqrt 3}{4}, \dfrac{7}{4} \gt $
