1.1.13 Vector Algebra

Problem: Find the decomposition of the vector \( \vec{v} \) into the vectors \( \vec{p}, \vec{q} \) and \( \vec{r} \). \[ \begin{array}{l} \vec{v}=\{8 ; 9 ; 4\}, \quad \vec{p}=\{1 ; 0 ; 1\}, \\ \vec{q}=\{0 ;-2 ; 1\}, \quad \vec{r}=\{1 ; 3 ; 0\} . \end{array} \]