Question about divergence and curl:

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    Curl Divergence
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SUMMARY

The discussion focuses on the vector calculus identities involving divergence and curl, specifically the equations div(F×G) = GcurlF - FcurlG and curl(F×G) = F.divG - G.divF + (G.∇).F - (F.∇).G. Participants suggest using either Cartesian coordinates or the Einstein summation convention to derive these identities. The conversation emphasizes the importance of understanding these vector operations in the context of physics and engineering.

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  • Familiarity with the Einstein summation convention.
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Aronyak
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Please Someone explain why:
1.div(F×G)=GcurlF-FcurlG
2.curl(F×G)=F.divG-G.divF+(G.∇).F-(F.∇).G
 
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Welcome to PF!

Hi Aronyak! Welcome to PF! :wink:

You can work it out, either by using x y and z coordinates, or by using the einstein summation convention …

show us what you get. :smile:
 

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