Answer
$2 \sqrt {19}$
Work Step by Step
The distance $d$ between two points $P_1(x_1,y_1,z_1)$ and $P_2(x_2,y_2,z_2)$ can be calculated as:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$.
Here, we have:
$d=\sqrt{(4-(-2))^2+(0-2)^2+(-3-3))^2}\\
=\sqrt{(6)^2+(-2)^2+(-6)^2}\\=\sqrt {36+4+36}\\
=\sqrt{76} \\=2 \sqrt {19}$