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

Question 111

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=⟨9,8⟩,v=⟨1,2⟩\mathbf { u } = \langle 9,8 \rangle , \mathbf { v } = \langle 1,2 \rangle


A) ⟨0.5,1⟩+⟨8.5,7⟩\langle 0.5,1 \rangle + \langle 8.5,7 \rangle
B) ⟨1,2⟩+⟨−2,1⟩\langle 1,2 \rangle + \langle - 2,1 \rangle
C) ⟨5,10⟩+⟨4,−2⟩\langle 5,10 \rangle + \langle 4 , - 2 \rangle
D) ⟨1,2⟩+⟨8,6⟩\langle 1,2 \rangle + \langle 8,6 \rangle

Correct Answer:

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