Find the projection of $\vec{v} = \left[\begin{array}{c} 9\cr -3\cr 4 \end{array}\right]$ onto the subspace $W$ of ${\mathbb R}^3$ spanned by $\left[\begin{array}{c} -4\cr -4\cr 2 \end{array}\right]$ and $\left[\begin{array}{c} 2\cr 4\cr -1 \end{array}\right]$.

$\mathrm{proj}_W(\vec{v})=$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$