WeBWorK Standalone Renderer

Let $\vec{x} = \left[\begin{array}{c} -3\cr -2\cr 1\cr 0 \end{array}\right], \ \vec{y} = \left[\begin{array}{c} 2.5\cr 1\cr 2.5\cr 1 \end{array}\right], \ \vec{z} = \left[\begin{array}{c} -4\cr 6\cr -7\cr 30.5 \end{array}\right].$ Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of ${\mathbb R}^4$ spanned by $\vec{x}$ , $\vec{y}$ , and $\vec{z}$ .

$\Bigg\lbrace$ $\left[\Rule{0pt}{4.8em}{0pt}\right.$ $\left]\Rule{0pt}{4.8em}{0pt}\right.$ , $\left[\Rule{0pt}{4.8em}{0pt}\right.$ $\left]\Rule{0pt}{4.8em}{0pt}\right.$ , $\left[\Rule{0pt}{4.8em}{0pt}\right.$ $\left]\Rule{0pt}{4.8em}{0pt}\right.$ $\Bigg\rbrace.$

You can earn partial credit on this problem.