Answer
$\dfrac{\sqrt {78}}{3}$
Work Step by Step
The formula to calculate the distance for two vectors is given by:
$d=\dfrac{|u \times v|}{|v|}$
Thus, we have $u \times v=\lt -1,-3,4 \gt$
and $|u \times v|=\sqrt{(-1)^2+(-3)^2+(4)^2}=\sqrt {26}$
Now, $d=\dfrac{|u \times v|}{|v|}=\dfrac{\sqrt {26}}{\sqrt{(1)^2+(1)^2+(1)^2}}=\dfrac{\sqrt {26}}{ \sqrt {3}}=\dfrac{\sqrt {78}}{3}$
