Paper 3, Section I, D

Prove that every member of $O(3)$ is a product of at most three reflections.

Is every member of $O(3)$ a product of at most two reflections? Justify your answer.

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Paper 3, Section I, D

Prove that every member of $O(3)$ is a product of at most three reflections.

Is every member of $O(3)$ a product of at most two reflections? Justify your answer.