Good explanataion BFG10K. Only one thing wrong (mathmatically at least). On a plane you have 2 dimensions; length (represented by the x-coordinate and plotted left and right) and height (represented by the y-coordinate and plotted up and down).
Then in space you have 3 dimensions, and here's where you went wrong. There are x, y, and z coordinates. For some reason the mathmaticians messed with the naming system so the x is actually depth, y now is length, and z is now height. Confusing, but you just have to know it I guess.