Hi, Roger:
I think the mathematically correct way to look at the output is as a vector. A vector has an amplitude and an angle.
But the practical way of thinking about it is to compare your brushless-motor with a brushed-motor. A brushed-motor does it's own commutation, and all you need to do is provide a voltage or current (torque) command to control it. The amplitude, in your application is analogous to the voltage or current command, and the angle is the only the commutation.