Find the coordinate vector of $\vec{x} = \left[\begin{array}{c} 3\cr 5\cr 0 \end{array}\right]$ with respect to the basis $B= \left\lbrace \left[\begin{array}{c} 1\cr 3\cr 6 \end{array}\right], \left[\begin{array}{c} 0\cr 1\cr -7 \end{array}\right], \left[\begin{array}{c} 0\cr 0\cr 1 \end{array}\right] \right\rbrace$ for ${\mathbb R}^3$.

$[\vec{x}]_B =$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$