I assume this is would be a basic question however, my math skills are lacking.
I am working on an iphone game where people draw their own platform to bounce an egg up.
The game consists of a platform connecting 2 nodes each of these nodes has an x and y value this platform can be at any angle depending on how the user draws it, when something hits this platform I need it to hit off perpendicularly. I know how much total power I need, how would I break it down between X and Y. I drew a picture to better explain…

Here are two examples the info I have about the problem is the X & Y coordinate of the nodes, and the length of the dotted perpendicular line. What I need to find is the length of the X and Y lines and if the X is going in a positive or negative direction.
If you have two nodes, N1 and N2, and line length of L, then: