Answer
$v=\lt \dfrac{-\sqrt 3}{2}, \dfrac{-1}{2}\gt$
Work Step by Step
The components of vector $v$ are: $v=\lt v_x,v_y\gt$
Thus, $v_x=(-1) \cos (\dfrac{\pi}{6})=\dfrac{-\sqrt 3}{2}$
and
$v_y=(-1) \sin (\dfrac{\pi}{6})=\dfrac{-1}{2}$
Hence, $v=\lt \dfrac{-\sqrt 3}{2}, \dfrac{-1}{2}\gt$
