Answer
$\dfrac{19}{5}$
Work Step by Step
The formula to calculate the distance for two vectors is given by:
$d=\dfrac{|u \cdot v|}{|v|}$
Thus, we have $u \cdot v=0(0)-4(4)+1(3)=-19$
and $|u \times v|=|-19|=19$
Now, $d=\dfrac{|u \cdot v|}{|v|}=\dfrac{19}{ \sqrt {(0)^2+(4)^2+(3)^2}}=\dfrac{19}{ \sqrt {25}}=\dfrac{19}{5}$
