Question: 21-27= Prove the identity, assuming that the appropriate partialderivatives exist and are continuous. Iffis a scalar field and F,G are vector fields, then fF,F*G, and

21-27= Prove the identity, assuming that the appropriate partialderivatives exist and are continuous. Iffis a scalar field and F,G are vector fields, then fF,F*G, and FG are defined by(fF)(x,y,z)=f(x,y,z)F(x,y,z)(F*G)(x,y,z)=F(x,y,z)*G(x,y,z)(FG)(x,y,z)=F(x,y,z)G(x,y,z)div(gradfgradg)=0

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