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Math Help - Vector Identities!

  1. #1
    Junior Member
    Joined
    Dec 2008
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    70

    Vector Identities!

    Having heaps of trouble with v.identities any help possible would be greatly appreciated.

    Let F = (z,y,-x) and f = |F| <--- (magnitude F)

    Use vector identities to calculate;

    <br />
\nabla \cdot (f \nabla  \times  (f F))<br />
    Last edited by mr fantastic; April 14th 2009 at 12:50 AM. Reason: Improved latex
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  2. #2
    Junior Member
    Joined
    Dec 2008
    Posts
    70

    Vector Identities!!

    I was going to use the following identity on the part inside brackets;

    <br /> <br />
\nabla \cdot (F \times G) = G \cdot ( \nabla   \times   F) - F\cdot ( \nabla  \times   G)<br /> <br />

    where F= f \nabla and G= f F

    but am not sure this is right move and wher to go from there??
    cheers
    Last edited by mr fantastic; April 14th 2009 at 12:51 AM. Reason: Merged from a duplicate post, edited, and improved the latex
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