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XYZ, UVN, Will it ever end

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I need to write a function to convert an object''s Euler angles to UVN coordinates. I''m having a bit of trouble. I read a document here on gamedev that has given me the most help so far, but I''m still a little lost. Here''s the situation thus far. I''m using the following coordinate system for both world and object space. Positive X axis points right, positive Y axis points up, Positive Z axis points into the screen. Adapting the code I found in the doc, I am able to find N (forward, Z axis) with the following. Nx = cos(ang_x) * sin(ang_y) Ny = sin(ang_x) Nz = cos(ang_x) * cos(ang_y) Much to my surprise, this actually works. At the moment I am trying to find similar algorithms for finding U (right, X axis) and V (up, Y axis). Any ideas?

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