Recently, Dave Butler posted:

Neil Gould wrote:

But, it may be a
good idea for you to look up the definition of "scalar". It *can not*
include a directional component. Conversely, AOA can not exist
without one.

Angle of attack does not "include a directional component". It is
just an angle, which is a scalar quantity.

If what you think is true, then it is possible to determine the AOA when
the aircraft is parked. Do so, and I'll revise my thinking. The wonderful
thing about this level of mathematics is that it is not ambiguous. If any
usage results in a violation of the definition, then the usage is wrong,
period.

Neil