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Linear Algebra

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Dot Product: Product of Vector Sums

LINALG-T1GW2G

Compute $(\boldsymbol{x} + \boldsymbol{y}) \cdot (\boldsymbol{z} + \boldsymbol{w})$ if:

$\boldsymbol{x} = \begin{bmatrix} 5\\\ 2\\\ 2\end{bmatrix}$

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

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

$\boldsymbol{w} = \begin{bmatrix} 2\\\ 0\\\ -1\end{bmatrix}$

A

$-10$

B

$-6$

C

$-9$

D

$3$

E

$0$

F

$6$