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

Question 236

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=⟨8,6⟩,v=⟨2,4⟩\mathbf { u } = \langle 8,6 \rangle , \mathbf { v } = \langle 2,4 \rangle


A) ⟨4,8⟩+⟨4,−2⟩\langle 4,8 \rangle + \langle 4 , - 2 \rangle
B) ⟨−1,−2⟩+⟨9,−4.5⟩\langle - 1 , - 2 \rangle + \langle 9 , - 4.5 \rangle
C) ⟨2,4⟩+⟨6,2⟩\langle 2,4 \rangle + \langle 6,2 \rangle
D) ⟨3,6⟩+⟨5,−2.5⟩\langle 3,6 \rangle + \langle 5 , - 2.5 \rangle

Correct Answer:

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