We are given two lines in $\mathbb{R}^3$:
$L1 : x = 4t , y = 1-2t , z = 2+2t;\\ L2 : x = 1+t , y = 1-t , z = -1+4t.$
The question asked was to find the parametric equations for the line that is perpendicular to the lines L1 and L2 which passes through their point of intersection.
Could anyone help and kindly explain how to find this?