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

Question 103

Multiple Choice

If ∥u∥=5\| \mathbf { u } \| = 5 and ∥v∥=4\| \mathbf { v } \| = 4 , and the vectors make angles of 60∘60 ^ { \circ } and 80∘80 ^ { \circ } with the xx -axis respectively, find the component form of the sum of u\mathbf { u } and v\mathbf { v } . Round answers to two decimal places.


A) ⟨3.19,8.27⟩\langle 3.19,8.27 \rangle
B) ⟨1.81,0.39⟩\langle 1.81,0.39 \rangle
C) ⟨5.02,6.44⟩\langle 5.02,6.44 \rangle
D) ⟨3.64,−1.44⟩\langle 3.64 , - 1.44 \rangle
E) ⟨2.87,8.39⟩\langle 2.87,8.39 \rangle

Correct Answer:

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