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

Question 3

Multiple Choice

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


A) ⟨−23,2⟩\langle - 2 \sqrt { 3 } , 2 \rangle
B) ⟨−4,43⟩\langle - 4,4 \sqrt { 3 } \rangle
C) ⟨−43,−4⟩\langle - 4 \sqrt { 3 } , - 4 \rangle
D) ⟨−2,23⟩\langle - 2,2 \sqrt { 3 } \rangle
E) ⟨−22,22⟩\langle - 2 \sqrt { 2 } , 2 \sqrt { 2 } \rangle

Correct Answer:

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