Yahoo Answers: Answers and Comments for What is the divergence of unit r vector? [Mathematics]
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From Cooper
enUS
Tue, 15 Sep 2009 14:24:04 +0000
3
Yahoo Answers: Answers and Comments for What is the divergence of unit r vector? [Mathematics]
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From vowels: I dont understand the way you purchased 2/r vi...
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Sat, 24 Dec 2016 21:58:45 +0000
I dont understand the way you purchased 2/r via fact divergence is calculated via taking the partial with know to x of the i factors, partial with know to y for the j factors and the partial with know to z below the ok factors, your answer would be a scalar fee which will inform you the way the bypass is passing a particular evaluate your field, ie, is it getting denser or is the fluid leaving speedier than it is getting into.

From jaz_will: The unit r vector can be written as
r / r...
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https://answers.yahoo.com/question/index?qid=20090915142404AAp1iQo
Fri, 18 Sep 2009 10:38:46 +0000
The unit r vector can be written as
r / r = r / Sqrt[ r^2 ]
So divergence of the unit r vector is, by the product rule:
(div r) / Sqrt[ r^2] + r . grad ( 1 / Sqrt r^2 )
= (div r) / r  r.r / r^3
= ( div r  1) / r
Now div r depends on the dimension. In n dimensions, div r = n, so the answer you seek is
(n1)/ r
(In three dimensions n1 = 2).