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Linear Algebra

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Dot Product: Computation with a Vector Sum and a Scalar Multiple

LINALG-ZJHUGR

Compute $2\boldsymbol{u} \cdot ( \boldsymbol{v} + \boldsymbol{w})$ where:

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

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

$\boldsymbol{w} = \begin{bmatrix} 0\\\ -5\\\ 3\end{bmatrix}$

A

$4$

B

$15$

C

$14$

D

$36$

E

$8$

F

$28$