Suppose that we have a cross-product of vectors.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]a × b = c[/tex]

Now suppose that we have an orthogonal matrix M. Is it true that

[tex](M a) × (M b) = M c[/tex]

?

My intuition is that here we are moving to another coordinate system and performing a cross product in this new system. I can't find an answer in google, so I'm posting here.

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# Cross product and matrix multiplication

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