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Write the Vector U as a Sum of Two Orthogonal projvu \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, projvu \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

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