Answer
$3$
Work Step by Step
The distance formula for two vectors can be calculated as:
$d=\dfrac{|p \cdot q|}{|q|}$
Now, $p \cdot q=1(3)+2(5)+2(-2)=9 $
and $|p \times q|=|9|=9$
Thus, $d=\dfrac{9}{ \sqrt {(1)^2+(2)^2+(2)^2}}$
or, $=\dfrac{9}{ 3}$
or, $=3$
