Let $\vec{y}= \left[\begin{array}{c} 6\cr 9\cr 1 \end{array}\right]$ and $\vec{u}= \left[\begin{array}{c} -4\cr 2\cr -5 \end{array}\right]$. Write $\vec{y}$ as the sum of two orthogonal vectors, $\vec{x}_{1}$ in $Span\left\lbrace u\right\rbrace$ and $\vec{x}_{2}$ orthogonal to $\vec{u}$.

$\vec{x}_{1}=$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$, $\vec{x}_{2}=$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$.