If $\| \mathbf { u } \| = 5$ And $\| \mathbf { v } \| = 3$

Multiple Choice

If $\| \mathbf { u } \| = 5$ and $\| \mathbf { v } \| = 3$ , and the vectors make angles of $150 ^ { \circ }$ and $110 ^ { \circ }$ with the $x$ -axis respectively, find the component form of the sum of $\mathbf { u }$ and $\mathbf { v }$ . Round answers to two decimal places.

A) $\langle - 5.36,5.32 \rangle$
B) $\langle - 3.30 , - 0.32 \rangle$
C) $\langle 1.47 , - 1.51 \rangle$
D) $\langle 3.53 , - 7.15 \rangle$
E) $\langle - 4.31,6.20 \rangle$