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

question 103

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) \(\langle 2.87,8.39 \rangle\)

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