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I Is the curl of a vector perpendicular to the vector?

  1. Jun 7, 2017 #1
    I am asking this because ∇ is also considered as a vector in some cases. Considering it as a vector in this case ,too,
    ( ∇× E).E = (- ∂ B/∂t).E = - ∂ (B.E)/∂t =0

    Since B and E could be arbitrarily dependent on t,
    B.E = 0

    where B and E are magnetic and electric fields respectively.
    This means that B and E are always perpendicular to each other.
  2. jcsd
  3. Jun 7, 2017 #2


    Staff: Mentor

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