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Linear Algebra

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Dot Product: Variable Coordinates in R^4

LINALG-BUKLVN

Find $x$ such that:

$\begin{bmatrix} 1\\\ 1\\\ 2\\\ x\end{bmatrix} \cdot \begin{bmatrix} -x\\\ 3\\\ x\\\ 0\end{bmatrix} = -2$

A

$-5$

B

$1$

C

$0$

D

$2$

E

$\dfrac{1}{2}$

F

$\dfrac{\sqrt{2}}{2}$