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
1.div(F×G)=GcurlF-FcurlG
2.curl(F×G)=F.divG-G.divF+(G.∇).F-(F.∇).G
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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