anonymous
  • anonymous
If I am doing the derivative of cross product of two vectors - can I first take the cross product then take the derivative - or do I have to use the cross product rule for derivatives
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@robtobey
anonymous
  • anonymous
I am pretty sure it will work both ways just one longer than the other
Michele_Laino
  • Michele_Laino
we can show that the first derivative of a cross product between two vectors, say a, and b is given by the subsequent identity: \[\Large \frac{d}{{dt}}\left( {{\mathbf{a}} \times {\mathbf{b}}} \right) = \frac{{d{\mathbf{a}}}}{{dt}} \times {\mathbf{b}} + {\mathbf{a}} \times \frac{{d{\mathbf{b}}}}{{dt}}\]

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Jhannybean
  • Jhannybean
Known as the Product Rule
Jhannybean
  • Jhannybean
Both methods should work out fine, like you said, one would just take a little longer.

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