Let $\vec{u} = \left[\begin{array}{c} -3\cr 1\cr -3 \end{array}\right]$ and $\vec{v} = \left[\begin{array}{c} -3\cr 4\cr -5 \end{array}\right]$. Find a vector $\vec{w}$ not in $\mathrm{span}\left\lbrace \vec{u}, \vec{v} \right\rbrace$.

$\vec{w} =$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$