Answer
$u \cdot v=3 \sqrt2$ and
$u \times v=3 \sqrt2$ and $u \times v$ is out of the page.
Work Step by Step
$u \cdot v=|u||v| cos 45^\circ$
$=(2)(3)\frac{\sqrt 2}{2}$
$=3 \sqrt2$
$u \times v=|u||v| sin 45^\circ$
$=(2)(3)\frac{\sqrt 2}{2}$
$=3 \sqrt2$
$u \times v$ is out of the page since the angle is counterclockwise from $u$ to $v$.
Hence,
$u \cdot v=3 \sqrt2$ and
$u \times v=3 \sqrt2$ and $u \times v$ is out of the page.
