Modul
e
15 : Vector fields, Gradient, Divergence and Curl
Lecture
44 : Gradient Divergence and Curl [Section 44.1]
44.1.13
Theorem:
Let
be continuously differentiable vector-fields and
a continuously differentiable vector-fields. Then the following hold:
(i)
(ii)
(iii)
where
and
Proof
(i)
(ii)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
be continuously differentiable vector-fields and 
a continuously differentiable vector-fields. Then the following hold: 
where 
