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

Multiple Choice

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, $\operatorname{proj}_{\mathbf{v}} \mathbf{u}$ .
- $$\mathbf { u } = \langle 6 , - 9 \rangle , \mathbf { v } = \langle - 9 , - 3 \rangle$$

A) $\langle - 9 , - 3 \rangle + \langle 15 , - 6 \rangle$
B) $\langle 3,1 \rangle + \langle 3 , - 10 \rangle$
C) $\langle 2.7,0.9 \rangle + \langle 3.3 , - 9.9 \rangle$
D) $\langle - 6 , - 2 \rangle + \langle 12 , - 36 \rangle$