Question

Find equations for the line containing (2,3,1) and perpendicular to the plane determined by (2,3,1) and the line x=0, y=2t, z=t.

Answer 1

get two points from the line x=0, y=2t, z=t., P and Q
find two vectors on the plane by getting differences between P, Q, and (2,3,1) and cross them to get the normal vector to the plane. use that vector and the point (2,31) in your equation for a line