Answer
$$5w-3v= \langle 21,-25\rangle $$
$$5v-3w =\langle -19,31\rangle $$
Work Step by Step
Since $ v=\langle -2,5\rangle $ and $ w=\langle 3,-2\rangle $, then we have
$$5w-3v=5\langle 3,-2\rangle-3\langle -2,5\rangle=\langle 21,-25\rangle $$
$$5v-3w=5\langle -2,5\rangle-3\langle 3,-2\rangle=\langle -19,31\rangle $$
