Find the Component Form Of $\mathbf { v }$ If $\| \mathbf { v } \| = 4$

Find the component form of $\mathbf { v }$ if $\| \mathbf { v } \| = 4$ and the angle it makes with the $x$ -axis is $120 ^ { \circ }$ .

A) $\langle - 2 \sqrt { 3 } , 2 \rangle$
B) $\langle - 4,4 \sqrt { 3 } \rangle$
C) $\langle - 4 \sqrt { 3 } , - 4 \rangle$
D) $\langle - 2,2 \sqrt { 3 } \rangle$
E) $\langle - 2 \sqrt { 2 } , 2 \sqrt { 2 } \rangle$