Prove or disprove: two consecutive rotations about two different axis are commutative. That is, is RuRv...

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Prove or disprove: two consecutive rotations about two differentaxis are commutative. That is, is RuRv = RvRu? (Hint: Forsimplicity, you can assume that the axis u is the x-axis and v isthe y-axis without loss of gnerality).

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