Sorry I meant x not *

I need to find the length and direction of u x v, and I have:

u = i x j

v = j x k

So first I will find:

$\displaystyle

u \times v =

\left[ {\begin{array}{ccc}

i & j & k \\

1 & 1 & 0 \\

0 & 1 & 1 \end{array} } \right]

= i - j + k

$

Then the length is 1 and direction is i - j + k.

Am I doing this correctly?