WeBWorK Standalone Renderer

Use the Gram-Schmidt process to transform the following sequence of vectors into an orthonormal sequence of vectors. $\vec{x} = \left[\begin{array}{c} 8\cr 4\cr 8 \end{array}\right], \ \vec{y} = \left[\begin{array}{c} -4\cr 1\cr -1 \end{array}\right], \ \vec{z} = \left[\begin{array}{c} 1\cr 5\cr 1 \end{array}\right].$

$\Bigg\lbrace$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$ $\left]\Rule{0pt}{3.6em}{0pt}\right.$ , $\left[\Rule{0pt}{3.6em}{0pt}\right.$ $\left]\Rule{0pt}{3.6em}{0pt}\right.$ , $\left[\Rule{0pt}{3.6em}{0pt}\right.$ $\left]\Rule{0pt}{3.6em}{0pt}\right.$ $\Bigg\rbrace.$

You can earn partial credit on this problem.