Find the projection of the line 3x – y +2z – 1 = 0, x +2y – z = 2 on the plane 3x + 2y +z = 0.

Answer 1

The line of intersection is

x/-3 = (y+1)/5 = z/7

Now project that line. A nice article is at

http://www.nabla.hr/CG-LinesPlanesIn3DC2.htm