It's funny - I just learned about these in class today too. They are basically the direction part of a vector. When coupled with a magnitude, they are a complete interpretation of the vector in that specific dimension. I think it went [math]\vec{A_x} = (A_x)\hat{i}[/math] Where the first Ax should have the vector sign over it and the i should have the hat (don't know how to do in latex.)
I think the i is unitless because it is an angle.
Edit: Yes Cap'n. Thanks for the latex help. (Edited latex)
Oh, and futhermore, [math]\hat{i}[/math] is for x, [math]\hat{j}[/math] for y, and [math]\hat{k}[/math] for z. A vector can be solved by [math]\vec{A}=(A_x)\hat{i}+(A_y)\hat{j}+(A_z)\hat{k}[/math] if I'm not mistaken.