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Math Help - vector calculus (curl)

  1. #1
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    vector calculus (curl)

    Is there an alternative way of showing that a vector field G(x, y, z) with a given curl on R3 can exist except by showing that div(curl G)=0?

    E.g. Show that vector field G(x,y,z) exists, curl G=<xyz,-y^2z,yz^2>, without using the "div(curl G) = 0" relationship.
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  2. #2
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    Re: vector calculus (curl)

    Can you just produce a vector field that has the given curl?

    - Hollywood
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