Answer
$$ v\times w
=i-j+k.
$$
Work Step by Step
$$ v\times w=
\left|\begin{array}{rrr}{i} & {j} & {k} \\ {1} & {1} & {0} \\ {0} & {1} & {1}\end{array}\right|=i \left|\begin{array}{rrr} {1} & {0} \\ {1} & {1}\end{array}\right|-j\left|\begin{array}{rrr} {1} & {0} \\ {0} & {1}\end{array}\right|+k\left|\begin{array}{rrr} {1} & {1} \\ {0} & {1} \end{array}\right|\\
=i(1-0)-j(1-0)+k(1-0)\\
=i-j+k.
$$
