Answer
$$\langle -7,-10,-5\rangle.$$
Work Step by Step
$$ ( v+w)\times (3u+2v)= 3v\times u+2 v\times v+3w\times u+2w\times v\\
= -3u\times v-3u\times w-2v\times w\\
=-3\langle 1,1,0\rangle-3\langle 0,3,1\rangle-2\langle 2,-1,1\rangle\\
= \langle -3,-3,0\rangle+\langle 0,-9,-3\rangle+\langle -4,2,-2\rangle\\
=\langle -7,-10,-5\rangle.$$
