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Linear Algebra

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Vector Normalization: Normalization in $R^2$

LINALG-PVS0XC

Compute the normalization of $\boldsymbol{v} = \begin{bmatrix} 3 \\\ -2 \end{bmatrix}$. Remember that the normalization of $\boldsymbol{v}$ is the unit vector pointing in the same direction as $\boldsymbol{v}$.

A

$\begin{bmatrix} 3 \\\ -2 \end{bmatrix}$

B

$\begin{bmatrix} \frac{1}{3} \\\ -\frac{2}{3} \end{bmatrix}$

C

$\begin{bmatrix} \frac{1}{3} \\\ -\frac{1}{2} \end{bmatrix}$

D

$\begin{bmatrix} \frac{3}{\sqrt{3}} \\\ -\frac{2}{\sqrt{2}} \end{bmatrix}$

E

$\begin{bmatrix} \frac{3}{\sqrt{6}} \\\ -\frac{2}{\sqrt{6}} \end{bmatrix}$

F

$\begin{bmatrix} \frac{3}{\sqrt{13}} \\\ -\frac{2}{\sqrt{13}} \end{bmatrix}$