Vector field Definition and 403 Threads

  1. P

    Evaluating a Vector Field Through a Surface with the Divergence Theorem

    ok this probley seems simple but i just need to see how to do it, ok well how do u evaluate this... find the flux of the vector field... \vec{F}=<x,y,z> throught this surface above the xy-plane.. z = 4-x^2-y^2 how do u evaluate this with surface integrals method and the divergence...
  2. G

    Vector Valued Function vs Vector Field

    I was just wondering; how is a vector valued function different from a vector field? Mathematically, they seem the same so should I think of them that way?
  3. C

    Decomposition of a Divergenceless Vector Field

    Viva! I usually come upon this statement: " Since B is solenoidal, it can be split into Toroidal and Poloidal parts, i.e, B=Bt+Bp, where Bt=curl(Tr) and Bp=curlcurl(Pr)" How can I prove this?? I think it is somehow related with the stokes theorem... Looking forward for...
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