- #1
haael
- 539
- 35
Suppose that we have a cross-product of vectors.
[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.
[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.