Answer
$(-3,-1,-1)$
Work Step by Step
We know that for a matrix
$
\left[\begin{array}{rrr}
a & b & c \\
d &e & f \\
g &h & i \\
\end{array} \right]
$
the determinant, $D=a(ei-fh)-b(di-fg)+c(dh-eg).$
$u\times v$ is the determinant of the matrix $\begin{bmatrix}
i & j& k \\
-1&1&2\\
0&1&-1\\
\end{bmatrix}
$
Thus $u\times v=(-3,-1,-1)$
$(-3,-1,-1)(-1,1,2)=3-1-2=0$, $(-3,-1,-1)(0,1,-1)=0-1+1-0=0$, thus it is orthogonal to both $u$ and $v$
