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, $\operatorname{proj}_{\mathbf{v}} \mathbf{u}$ .
- $$\mathbf { u } = \langle - 9 , - 4 \rangle , \mathbf { v } = \langle 7,1 \rangle$$

A) $\langle 7,1 \rangle + \langle - 1,7 \rangle$
B) $\langle - 9.38 , - 1.34 \rangle + \langle 0.38 , - 2.66 \rangle$
C) $\langle 7,1 \rangle + \langle - 16 , - 5 \rangle$
D) $\langle 3.5,0.5 \rangle + \langle - 12.5 , - 23 \rangle$

Correct Answer:

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