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Prithu biswas

09:03

@Buraian Is Angular displacement a vector?

Buraian

09:16

Complicated

If angular displacement is small, then it has vector space like properties in 3D space

but in a 2D plane, yes

You need something known as Lie algebra to deal with it properly

Prithu biswas

@Buraian That is truly an illuminating answer. Thanks for solving my problem =)

Buraian

Bruv, I am concerned that it was so terse now 🤣🤣

@Prithubiswas

see the book Irodov Fundamental Laws of mechanics, there is a section in it which gives a pretty basic discussion of this

A: Why do actions become commutative as we reduce the 'size' of it?

They don't. (I will use essentially the same expression as Chrystomath's answer, but express the conclusions differently.) Call the generators of rotations around $x$ and $y$ axes $X$ and $Y$, respectively, and consider rotations by angles $\alpha$ and $\beta$ The noncommutativity of two rotation...