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Write the Vector U as a Sum of Two Orthogonal proj⁡vu \operatorname{proj}_{\mathbf{v}} \mathbf{u}

Question 174

Multiple Choice

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, proj⁡vu \operatorname{proj}_{\mathbf{v}} \mathbf{u} .
- u=⟨6,−9⟩,v=⟨−9,−3⟩\mathbf { u } = \langle 6 , - 9 \rangle , \mathbf { v } = \langle - 9 , - 3 \rangle


A) ⟨−9,−3⟩+⟨15,−6⟩\langle - 9 , - 3 \rangle + \langle 15 , - 6 \rangle
B) ⟨3,1⟩+⟨3,−10⟩\langle 3,1 \rangle + \langle 3 , - 10 \rangle
C) ⟨2.7,0.9⟩+⟨3.3,−9.9⟩\langle 2.7,0.9 \rangle + \langle 3.3 , - 9.9 \rangle
D) ⟨−6,−2⟩+⟨12,−36⟩\langle - 6 , - 2 \rangle + \langle 12 , - 36 \rangle

Correct Answer:

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