Given the parametric equation of a line, and the equation of a plane, how can you find the "orthogonal projection of the line onto the plane"?

Help very very appreciated!! Thanks!

- Jun 3rd 2011, 02:45 AMYehiaIn 3D space, how do you find the "orthogonal projection of a line onto a plane"?
Given the parametric equation of a line, and the equation of a plane, how can you find the "orthogonal projection of the line onto the plane"?

Help very very appreciated!! Thanks! - Jun 3rd 2011, 06:50 AMFernandoRevilla
One way: express the line as intersection of two planes . The equation of all planes containing is with . Choose among them the plane orthogonal to the given plane . The solution is .