"Neil Gould" wrote
Mathematically, an "angle" by itself *is* a scalar, and I'm not arguing
otherwise. I'm saying that "Angle Of Attack" requires direction to have
meaning. Without direction, there is no AOA.

Neil, give us an example of AOA having a "direction".

Well, OK. Then, how do you determine the AOA when the aircraft is parked?

When parked with no wind, there is no relative wind and therefore NO AOA.

Bob Moore