TITLE: Line and plane intersection in 3D
QUESTION [6 upvotes]: How would one calculate the intersection of a line and a plane in 3D ?
Given for example are 4 points which form a plane (x1,y1,z1)...(x4,y4,z4) and 2 different points which form a line (x5,y5,z5) and (x6,y6,z6). How is it possible to know where the line intersect with the plain when this info is given. I thought to calculate the equation of the plain and line. Then eq of the line = eq of the plane. to find the point where they intersect. But I don't know how the construct the equation of a line in 3D given the 2 points. And I'm not sure that if I equate the 2 equations that it will give the intersection point. If someone would please be so kind to fill the blanks in of my knowledge or suggest another solution. I would be very grateful.

REPLY [2 votes]: For these, and many similar requests, go to
http://www.graphicsgems.org/
Also, look up its descendant, 
The Journal of Graphics Tools
at
http://jgt.akpeters.com/