Is efficiency a scalar or vector quantity?

Answer 1

Efficiency is a scalar quantity because it can increase in magnitude but does not have any particular direction. :)

Answer 2

Kinetic energy is defined as scalar energy.

Physics is confused by defining energy as only scalar. Energy is a Quaternion quantity, consisting of a scalar energy and a vector energy.

I call vector energy kinetic energy, e.g cmV=cP kinetic energy.

This confusion can be seen by the product of a force vector F and a vector displacement D;

FD= -F.D + FxD = -FDcos(FD) + FDsin(FD) 1FxD,

The cosine term is scalar energy and is called energy by Physicists, but the sin term is not called vector energy , it is called "torque".

Failure to appreciate quaternions is a major block to understanding physics.

Second Kinetic energy is "defined" to be 1/2 mv2. This is wrong Potential energy

V = mv2, e.g mGM/r = mv2 so that w2 = GM/r3.

Quaternions is the key to understanding Physics.