If $\| \mathbf { u } \| = 5$ And $\| \mathbf { v } \| = 4$

Multiple Choice

If $\| \mathbf { u } \| = 5$ and $\| \mathbf { v } \| = 4$ , and the vectors make angles of $60 ^ { \circ }$ and $80 ^ { \circ }$ 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) $\langle 3.19,8.27 \rangle$
B) $\langle 1.81,0.39 \rangle$
C) $\langle 5.02,6.44 \rangle$
D) $\langle 3.64 , - 1.44 \rangle$
E) $\langle 2.87,8.39 \rangle$