Answer
$\langle -2, -2, -2\rangle $
Work Step by Step
We take the cross product:
$ w\times (u+v) = w\times u + w\times v $
$=-u\times w - v\times w $
Since $ u\times w $ and $ v\times w $ are given:
$=-\langle 0,3,1\rangle-\langle 2,-1,1\rangle $
Distribute the negatives and add:
$=\langle -2, -2, -2\rangle $