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Linear Algebra

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Dot Product: Basic Computation with Scalar Multiplication

LINALG-NRXIXE

Compute $(2\boldsymbol{u})\cdot (-3\boldsymbol{v})$ if:

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

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

A

$18$

B

$-18$

C

$-3$

D

$3$

E

$24$

F

$-24$