Axial Vector: Small Angular Displacement

[Sakshi Negi]

why is angular displacement considered an axial vector only for small values?

 

[Bill_K]

Sakshi, It's because rotations don't add the way vectors are supposed to add. If you had one rotation R₁ and followed it with another one: R₂, that will give you a different result from rotating R₂ and then following that with R₁. (Try it.) But if you tried to represent rotations R_i with vectors R_i, the result would be the same in both cases: R₁ + R₂.

 

[Studiot]

why is angular displacement considered an axial vector only for small values

Angular displacement can be many revolutions.

This cannot be represented uniquely by vector, axial or regular.

go well