Question

Let u = <-6, -2>, v = <-2, 3>. Find -3u + 2v.

Answer 1

$\bf \begin{cases} u=\ \textless \ -6,-2\ \textgreater \ \\ -3u=-3\ \textless \ -6,-2\ \textgreater \ \\ \qquad \ \textless \ -3\cdot -6~,~-3\cdot -2\ \textgreater \ \\ \qquad \boxed{\ \textless \ 18~,~6\ \textgreater \ }\\ ----------\\ v=\ \textless \ -2,3\ \textgreater \ \\ 2v=2\ \textless \ -2,3\ \textgreater \ \\ \qquad \ \textless \ 2\cdot -2~,~2\cdot 3\ \textgreater \ \\ \qquad \boxed{\ \textless \ -4~,~6\ \textgreater \ } \end{cases}\qquad \begin{cases} -3u+2v\\ -----------\\ \ \textless \ 18~,~6\ \textgreater \ +\ \textless \ -4~,~6\ \textgreater \ \\\\ \ \textless \ 18-4~,~6+6\ \textgreater \ \\\\ \boxed{\ \textless \ 14~,~12\ \textgreater \ } \end{cases}$