1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Vector Triple Production Reduction

  1. Sep 9, 2011 #1
    [itex]\nabla[/itex]x (A x B)
    I'm trying to reduce this triple product down so nabla is only operating on either A or B, not the product of the two vectors.

    I've been playing with this for a while now but can't really seem to make a dent in it. Any suggestions would be well appreciated.
     
  2. jcsd
  3. Sep 9, 2011 #2
    There's a pretty famous relation:

    [itex]\nabla\times(\nabla\times\vec{F}) = \nabla(\nabla \cdot F) - \nabla^{2}F[/itex] =
    = grad(div(F)) - Laplacian(F)

    Proof can be of course rigorously done either through actual component calculation or using other relations, but I believe you can just use this :-)
     
    Last edited: Sep 9, 2011
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...