In reply to b1ueshift, msg:12809.
You assert (without any discussion, let alone proof) that angular displacement (say, for example, 10degrees CW, from the standard reference of +X axis) is a vector
this displacement has direction AND magnitude.
Sure, 10degrees is a magnitude.
But CW is a planar (scalar) term, not a direction, for how can this "CW" be expressed in terms of base vectors ? It is irrelevant what system of base vectors we use, i,j,k (Cartesian) or Spherical, or Cylindrical, etc.
Go see my reply, ozogg:msg: 12812, to acroduster:msg: 12768.
Doesn't anyone read fundamental maths texts anymore, let alone maths encyclopedias ?