Answer
$2 \sqrt {30}$
Work Step by Step
The distance formula for two vectors can be calculated as:
$d=\dfrac{|p \times q|}{|q|}$
and $p \times q=\lt -24,-48,0 \gt $
and $|p \times q|=\sqrt{(-24)^2+(-48)^2+(0)^2}=24 \sqrt 5$
Thus, $d=\dfrac{24 \sqrt 5}{2 \sqrt 6}=2 \sqrt {30}$