I'd like to prove the fact that -(adsbygoogle = window.adsbygoogle || []).push({}); since a rotation of axes is a length-preserving transformation, the rotation matrix must be orthogonal.

By the way, the converse of the statement is true also. Meaning, if a transformation is orthogonal, it must be length preserving, and I have been able to prove it. This is the so called "sufficient" statement.

But how to prove the "necessary" statement above? Any help?

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# Orthogonal character of rotation matrix

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