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Prove that two successive rotations are additive.

Show that the composition of two successive rotations are additive i.e. R(Ɵ1).R(Ɵ2)=R(Ɵ1+Ɵ2).

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To Show that the composition of two successive rotations are additive i.e. R(Ɵ1). R(Ɵ2) = R(Ɵ1+ Ɵ2).

Solution :- The Rotation matrix R is given as,

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