Answer
$\dfrac{9 \sqrt {42}}{7}$
Work Step by Step
The distance formula for two vectors can be calculated as:
$d=\dfrac{|p \times q|}{|q|}$
Thus, we have $p \times q=\lt 30,6,6\gt $
and $|p \times q|=\sqrt{(30)^2+(6)^2+(6)^2}=\sqrt{900+36+36}=18 \sqrt {3}$
Thus, $d=\dfrac{18 \sqrt {3}}{ \sqrt {14}}=\dfrac{9 \sqrt {42}}{7}$
