Find the projection of $\vec{v} = \left[\begin{array}{c} -4\cr 1\cr -5 \end{array}\right]$ onto the line $\ell$ of ${\mathbb R}^3$ given by the parametric equation $\ell = t\vec{u}$, where $\vec{u} = \left[\begin{array}{c} 4\cr 7\cr 1 \end{array}\right]$.

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