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Prove that two successive rotations are additive.

Show that the composition of two successive rotations are additive i.e. $R(Ɵ_1). R(Ɵ_2) = R(Ɵ_1+ Ɵ_2).$

2d transformation matrix • 18k  views
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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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