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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Cross product and matrix multiplication

**Physics Forums | Science Articles, Homework Help, Discussion**