I want to find which values of n make the vector field(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\underline{F} = {|\underline{r}|}^n\underline{r}[/tex] solenoidal.

So I have to evaluate the divergence of this vector field I think, then show for which values of n it is zero?

Im starting by substituting:

[tex]\underline{r} = \sqrt{x^2 + y^2 + z^2}[/tex]

getting..

[tex] \underline{F} = {(x^2 + y^2 + z^2)}^{n/2}\sqrt{x^2 + y^2 + z^2}[/tex]

How can I extract

[tex]\underline{F_x}, \underline{F_y}, \underline{F_z}[/tex]?

It's probably really simple but I can't see it! Thanks in advance.

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# Divergence and solenoidal vector fields

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