WeBWorK Standalone Renderer

Find a set of vectors $\left\lbrace \vec{u}, \vec{v} \right\rbrace$ in ${\mathbb R}^4$ that spans the solution set of the equations $\left\lbrace \begin{array}{rcl} w-x+3z & = & 0, \\ 2w+2x-y+3z & = & 0. \end{array} \right.$

$\vec{u} =$ $\left[\Rule{0pt}{4.8em}{0pt}\right.$ $\left]\Rule{0pt}{4.8em}{0pt}\right.$ , $\vec{v} =$ $\left[\Rule{0pt}{4.8em}{0pt}\right.$ $\left]\Rule{0pt}{4.8em}{0pt}\right.$ .

(The components of these vectors appear in alphabetical order: (w,x,y,z) ).