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Prove or disprove

  1. Mar 9, 2009 #1
    Hi all,

    Is curl(BF)=Bcurl(F)-Fxgrad(B) if B and F are partially differentiable functions of x, y, and z.

    Basically I would solve for the LHS and then the RHS. If I get similar answers then I have proven it, else it is not proven. However, I am stuck with the LHS. How can I perform curl(BF)? Do I:

    curl(BF)=[d/dx,d/dy,d/dz]x[x^2,y^2,z^2]?
     
  2. jcsd
  3. Mar 9, 2009 #2

    Office_Shredder

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    F has to be a vector function, and B has to be a scalar function (otherwise grad(B) would be meaningless! So would Bcurl(F)!). So if F has components Fi, then BF has components BFi
     
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