Q: Find a line perpendicular and intersecting the lines: (t, 1-t, 2t) and (2t, t, t).

What I am thinking so far:

Treat the second line like (2s, s, s)

Normal Vector: Cross Product of the two: (t-3t^2, 3t^2, 3t^2 - 2t)

Find 2 equations using cross product then solve for s and t.

Need help :) Thanks!