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Div, grad, curl question

  1. Apr 14, 2013 #1
    1. The problem statement, all variables and given/known data

    16ixf0z.png


    2. Relevant equations



    3. The attempt at a solution

    For part (c), I showed that the tripple cross product = 2a using einstein notation. Then, I showed that 2∇(a.r) = 2a which is the same as LHS. I don't think this is as elegant as it can get..

    How do I prove it directly? I've looked up some operator identities:
    d5b8119de472d7a6d75c1672e93ccd34.png
     
  2. jcsd
  3. Apr 14, 2013 #2

    BruceW

    User Avatar
    Homework Helper

    Your method is fine. I would have done the same thing. I know what you mean though. It feels like there should be some kind of shortcut method.
     
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