Linear Algebra

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Dot Product Properties: The Distribution Property

LINALG-K4WGHB

Compute $\boldsymbol{u} \cdot ( \boldsymbol{v} + \boldsymbol{w})$ where:

$\boldsymbol{u} = \begin{bmatrix} 1\\\ -5\\\ 0\end{bmatrix}$

$\boldsymbol{v} = \begin{bmatrix} 1\\\ 0\\\ -1\end{bmatrix}$

$\boldsymbol{w} = \begin{bmatrix} 3\\\ 2\\\ -3\end{bmatrix}$

A

$1$

B

$-1$

C

$0$

D

$-7$

E

$-6$

F

$7$