October 27th, 2009, 12:13 PM  #1 
Newbie Joined: Oct 2009 Posts: 27 Thanks: 0  Vector Field 3
Find the divergence and the curl of the vector field Please show the calculations. 
October 27th, 2009, 01:22 PM  #2 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0 
How far have you got? Do you know the definition of divergence and curl?

October 27th, 2009, 06:41 PM  #3 
Newbie Joined: Oct 2009 Posts: 27 Thanks: 0  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.

October 28th, 2009, 06:21 AM  #4 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0 
For a 3dimensional vector field the divergence is given by and the curl is given by where the differential operator can be thought of as Example: 
October 28th, 2009, 05:38 PM  #5 
Newbie Joined: Oct 2009 Posts: 27 Thanks: 0  Re: Vector Field 3
but wouldn't: 
October 28th, 2009, 08:40 PM  #6  
Senior Member Joined: Oct 2009 Posts: 105 Thanks: 0  Re: Vector Field 3 Quote:
Yes. He was just using another example, F(x,xy,xyz). You would be correct for the divergence of your function.  
October 28th, 2009, 08:41 PM  #7 
Newbie Joined: Oct 2009 Posts: 27 Thanks: 0  Re: Vector Field 3
so where would i go from there?

October 28th, 2009, 08:56 PM  #8 
Newbie Joined: Oct 2009 Posts: 27 Thanks: 0  Re: Vector Field 3 would this be the correct answer? is there a better way to write this or work this out? 
October 29th, 2009, 05:47 AM  #9 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0 
Check your calculations for the first element of .

October 29th, 2009, 06:09 AM  #10 
Newbie Joined: Oct 2009 Posts: 27 Thanks: 0  Re: Vector Field 3
oops it would be (0,0,0) and that's it?? 

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