Answer
$ \textbf {3u-6v}$=$\langle -30,-3 \rangle $
Work Step by Step
$ \textbf u$=$\langle -2,5 \rangle $
$ \textbf v$=$\langle 4,3 \rangle $
$ \textbf {3u-6v}$=3$ \times$$\langle -2,5 \rangle -6 \times$ $\langle 4,3 \rangle $
$ \textbf {3u-6v}$=$\langle -6,15 \rangle $- $\langle 24,18 \rangle $
$ \textbf {3u-6v}$=$\langle -6-24,15-18 \rangle $
$ \textbf {3u-6v}$=$\langle -30,-3 \rangle $