How to Differentiate Cross Product?

Thread starter nabi1995
Start date Jul 16, 2007
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Cross Cross product Differentiate Product

AI Thread Summary

To differentiate the cross product of vectors U and B, the discussion references the equations dB/ds = -TN and dU/ds = KN, along with the relationship N = U x B. The key to deriving the equation dN/ds = TB - KU lies in applying the product rule, specifically the Leibniz rule, to the cross product. The original poster confirms they have solved the equation, indicating that the differentiation process was successful. The conversation emphasizes the importance of understanding the product rule in vector calculus.

Jul 16, 2007

nabi1995

Hi all,

I have a qustion.

dB/ds= -TN, dU/ds= KN (1)
N= U x B (2)

dN/ds=TB-KU (3)

How Eq.(3) can be obtained from Eq.(1),(2)?

Have a nice day!

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Jul 16, 2007

robphy

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product rule

Jul 17, 2007

mathwonk

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just like any other product. leibniz rule.

Jul 17, 2007

nabi1995

Thank you,

mathwonk said:

just like any other product. leibniz rule.

I solved the equation. Thank you!

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