Answer
$2\sqrt{11}.$
Work Step by Step
The magnitude $||v||$ of a vector $v=ai+bj+ck$, can be computed using the formula
$||v||=\sqrt{a^2+b^2+c^2}$.
Hence, using the formula above gives
$||v||=\sqrt{6^2+2^2+(-2)^2}\\||v||=\sqrt{36+4+4}\\||v||=\sqrt{44}\\||v||=2\sqrt{11}.$