Let $\vec{x}= \left[\begin{array}{c} -4\cr 1\cr -4 \end{array}\right]$ and $y= \left[\begin{array}{c} 4\cr 0\cr -4 \end{array}\right]$. Find the vectors $\vec{v}=4 \vec{x}$, $\vec{u}= \vec{x} + \vec{y}$, and $\vec{w}=4 \vec{x} + \vec{y}$.

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