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Curl and the Cross Product

  1. Jun 17, 2009 #1
    Regarding the equation for curl:

    Nable E literally means the sum of the differences of certain rates of change with respect to certain coordinates i hat, j hat, k hat.

    Since Nabla Cross E also is interpreted as the volume of a paralleliped in 3D space....

    1. when the volume is zero, does this mean there is zero curl?

    2. when the volume is >0 to infinity, does that mean the rotation is happening faster or just dispersing faster thru the field or liquid or what have you?

    Also, anyone know any good vector calculus jokes?
  2. jcsd
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