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October 27th, 2009, 12:13 PM   #1
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Vector Field 3

Find the divergence and the curl of the vector field



Please show the calculations.
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October 27th, 2009, 01:22 PM   #2
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How far have you got? Do you know the definition of divergence and curl?
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October 27th, 2009, 06:41 PM   #3
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Re: Vector Field 3

i know none of this, we just started this stuff, honestly my professor is horrible at explaining things, so i'm looking for help anywhere i can find it. It usually helps me to see the steps someone would take to work this out.
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October 28th, 2009, 06:21 AM   #4
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For a 3-dimensional vector field the divergence is given by and the curl is given by where the differential operator can be thought of as

Example:



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October 28th, 2009, 05:38 PM   #5
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Re: Vector Field 3

but wouldn't:





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October 28th, 2009, 08:40 PM   #6
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Re: Vector Field 3

Quote:
Originally Posted by OSearcy4
but wouldn't:






Yes.

He was just using another example, F(x,xy,xyz). You would be correct for the divergence of your function.
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October 28th, 2009, 08:41 PM   #7
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Re: Vector Field 3

so where would i go from there?
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October 28th, 2009, 08:56 PM   #8
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Re: Vector Field 3







would this be the correct answer?
is there a better way to write this or work this out?
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October 29th, 2009, 05:47 AM   #9
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Check your calculations for the first element of .
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October 29th, 2009, 06:09 AM   #10
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Re: Vector Field 3

oops it would be (0,0,0)

and that's it??
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