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

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, $\operatorname{proj}_{\mathbf{v}} \mathbf{u}$ .
- $\mathbf { u } = \langle 5 , - 5 \rangle , \mathbf { v } = \langle 6,8 \rangle$

A) $\langle 6,8 \rangle + \langle - 1 , - 13 \rangle$
B) $\langle 1.5,2 \rangle + \langle 3.5 , - 7 \rangle$
C) $\langle - 0.6 , - 0.8 \rangle + \langle 5.6 , - 4.2 \rangle$
D) $\langle 3,4 \rangle + \langle - 8,6 \rangle$

Correct Answer:

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