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(Solved): 1. For a differentiable scalar function f(x,y,z) and differentiable vector functions F(x,y,z) and G ...
1. For a differentiable scalar function f(x,y,z) and differentiable vector functions F(x,y,z) and G(x,y,z), prove the following curl(?f)=?×(?f)=0div(F×G)=(curlF)?G?F?(curlG)?×(fF)=f(?×F)+(?f)×Fdiv(curlF)=0?