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Linear Algebra

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Orthogonal Projection in Two Dimensions

LINALG-Z3MT8D

The orthogonal projection of the vector $\begin{bmatrix}3\\\ 1\end{bmatrix}$ onto the line $3x -4y=0$ is

A

$\begin{bmatrix}\frac{12}{5}\\\ \frac{9}{5}\end{bmatrix}$

B

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

C

$\begin{bmatrix}0\\\ 0\end{bmatrix}$

D

$5$