1.1.17 Vector Algebra

Problem: Write the decomposition of the vector \( \vec{v} \) into the vectors \( \vec{p}, \vec{q} \) and \( \vec{r} \). \[ \begin{array}{ll} \vec{v}=\{-1 ; 7 ; 0\}, & \vec{p}=\{0 ; 3 ; 1\}, \\ \vec{q}=\{1 ;-1 ; 2\}, & \vec{r}=\{2 ;-1 ; 0\} . \end{array} \]