Once again Jack tells us that if he _assumes_ P, Q, and R
form a right-handed set then they form a right-handed set.
My point remains that if you decline to assume that the
basis vectors form a right-handed set, the axioms of
Clifford Algebra form a perfectly well-behaved system
called "Clifford Algebra". This system is well suited
to describing the physics of gyroscopes, rotations, boosts,
electromagnetism, and many other things.
Ancient Chinese saying: Person who says it cannot be done
should not interrupt person doing it.