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: Proof - Vector Calculus - Curl

  1. Mar 2, 2012 #1
    I need to prove this: u x ([itex]\nabla[/itex] x u) = [itex]\frac{1}{2}[/itex][itex]\nabla[/itex](u²) - (u [itex]\cdot[/itex] [itex]\nabla[/itex])u.

    I've came to this: uj∂iuj - uj∂jui (i think it's correct)
    But how this 1/2 appears?
  2. jcsd
  3. Mar 2, 2012 #2


    User Avatar
    Science Advisor
    Homework Helper

    welcome to pf!

    hi cristina89! welcome to pf! :smile:

    (try using the X2 button just above the Reply box :wink:)
    'cos ∂i(ujuj)= 2uji(uj) :wink:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook