Question

Find the parametric equations for the line through the point (0,1,2) that is perpendicular to the line x=1+t, y=1-t, z=2t

Answer 1

So when i tried to do this, i first drew a little picture of a line going through a point, and the given line being perpendicular to the line i drew, then picked a random point on given line, and used those to points to make a vector and a right triangle was formed, i am unsure about how to go from there

Answer 2

If we can find AC then the problem will become trivial, but i am unsure how to find components of C from AB