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Dot Product: Computation Involving Linear Combinations

LINALG-LRKS8F

Compute $(\boldsymbol{u} - 2\boldsymbol{v})\cdot \boldsymbol{w}$ if:

$\boldsymbol{u} = \begin{bmatrix} 1\\\ -2\\\ 1\end{bmatrix}$

$\boldsymbol{v} = \begin{bmatrix} -1\\\ -1\\\ 3\end{bmatrix}$

$\boldsymbol{w} = \begin{bmatrix} -2\\\ 1\\\ -1\end{bmatrix}$

A

$2$

B

$-1$

C

$-9$

D

$-7$

E

$-12$

F

$-8$