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In: Advanced Math

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

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

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Expert Solution

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


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