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Thread: Conservative Vector Field

  1. #1
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    Conservative Vector Field

    Determine whether or not the vector field is conservative.
    If it is conservative, find a function f such that F = ∇f.

    F(x, y, z) = yz i + xz j + xy k

    I found the vector field to be conservative but how do I find the function?

    The book's answer is xyz + K.
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  2. #2
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    Re: Conservative Vector Field

    Quote Originally Posted by USNAVY View Post
    Determine whether or not the vector field is conservative.
    If it is conservative, find a function f such that F = ∇f.

    F(x, y, z) = yz i + xz j + xy k

    I found the vector field to be conservative but how do I find the function?

    The book's answer is xyz + K.
    I gave a complete out line how these are done. Use it.

    In this one $I(x,y,z)=yz,~J(x,y,z)=xz,~\&~K(x,y,z)=xy$
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    Re: Conservative Vector Field

    Yes, I must integrate to find the function.
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