Answer
$\dfrac{25}{\sqrt {38}}$
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 $u \cdot v=-1(2)+(-1)(3)+(-4)(5)=-25$
and $|u \cdot v|=|-25|=25$
Now, $d=\dfrac{|u \cdot v|}{|v|}=\dfrac{25}{ \sqrt {(2)^2+(3)^2+(5)^2}}=\dfrac{25}{\sqrt {38}}$
