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Math Help - Divergence answer check.

  1. #1
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    Divergence answer check.

    Hi,

    I'd just like someone to verify my answer to the following:



    My answer (after much working out and simplifying):

    <br />
\nabla \cdot F = \frac{3}{\sqrt{x^2+y^2+z^2}}-\frac{x^2-y^2-z^2}{(x^2+y^2+z^2)^{3/2}}<br />
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  2. #2
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    Quote Originally Posted by scorpion007 View Post
    Hi,

    I'd just like someone to verify my answer to the following:



    My answer (after much working out and simplifying):

    <br />
\nabla \cdot F = \frac{3}{\sqrt{x^2+y^2+z^2}}-\frac{x^2-y^2-z^2}{(x^2+y^2+z^2)^{3/2}}<br />
    I think there's some sign problems. Here's what I got

    <br />
\nabla \cdot F = \frac{3}{\sqrt{x^2+y^2+z^2}}-\frac{x^2+y^2+z^2}{(x^2+y^2+z^2)^{3/2}} = \frac{2}{\sqrt{x^2+y^2+z^2}}<br />
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  3. #3
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    Ah, thanks. I knew I messed up the signs in the last bit.
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