\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Calculate \(5\vec{p} - 2\vec{q}\) where \(\vec{p} = \begin{pmatrix} -1 \\ 2 \\ -2 \end{pmatrix}\) and \(\vec{q} = \begin{pmatrix} 4 \\ -3 \\ 0 \end{pmatrix}\).
\(5\vec{p} - 2\vec{q} = \begin{pmatrix} \input{126627}{}{3em}{2em}{}{} \\ \input{226627}{}{3em}{2em}{}{} \\ \input{326627}{}{3em}{2em}{}{} \end{pmatrix}\)