Projective geometry - intersections
Sorry if my post would be in the wrong section, but I didn't know where to put it as there's no topic called 'projective geometry'.
I'm working on the following problem. Suppose we're working in the projective space where we have given the Plucker coordinates of a plane and the Plucker coordinates of a line . The question is, what are the coordinates of the intersection point?
I can represent the plane analytically as which can be useful to work with, but I also want an analytically expression of the line, which I cannot find. I did some research and I found on wikipedia that the coordinates of the intersection point are given by: where and . Honestly, I don't know how they came to that answer as I have no analytical expression for the line .
How do I have to approach this problem?