Chapter 12 - Vectors and the Geometry of Space - Review - Exercises - Page 882: 3

$u \cdot v=3 \sqrt2$ and $u \times v=3 \sqrt2$ and $u \times v$ is out of the page.

$u \cdot v=|u||v| cos 45^\circ$ $=(2)(3)\frac{\sqrt 2}{2}$ $=3 \sqrt2$ $u \times v=|u||v| sin 45^\circ$ $=(2)(3)\frac{\sqrt 2}{2}$ $=3 \sqrt2$ $u \times v$ 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.