This seems to be a very difficult subject to google for, and I only really know how to do this in 2-dimensions.

What I'm looking to do is calculate the point at which two lines in N dimensions intersect. N could be 2, 3, 4 or any other value, which is what makes this so complicated to get my head around.

Any help is greatly appreciated, and I would appreciate also if any answers are given in the smallest pieces possible, big equations may be great for expressing something in one line, but they can be a nightmare to read

Thanks