Find the Closest Point to Y in the Subspace W

Multiple Choice

Find the closest point to y in the subspace W spanned by u₁ and u₂.
- $$\mathbf { y } = \left[ \begin{array} { r } 27 \\17 \\7\end{array} \right] , \mathbf { u } _ { 1 } = \left[ \begin{array} { r } 2 \\2 \\- 1\end{array} \right] , \mathbf { u } _ { 2 } = \left[ \begin{array} { r } - 1 \\3 \\4\end{array} \right]$$

A)
$\left[ \begin{array} { c } - 8 \\ 96 \\ 95 \end{array} \right]$
B)
$\left[ \begin{array} { r } - 16 \\ - 24 \\ 1 \end{array} \right]$

C)
$\left[ \begin{array} { r } - 5 \\ 31 \\ 34 \end{array} \right]$

D)

$\left[ \begin{array} { c } 16 \\ 24 \\ - 1 \end{array} \right]$