Module 15 :  Vector fields, Gradient, Divergence and Curl
Lecture 44 :  Gradient Divergence and Curl [Section 44.1]
3.
Let
 

and let

Prove the following:

(i)
(ii)
(iii)
   
4.
For and as in exercise (3) above, show that
(i)
(ii)
(iii)
   
5.
Show that the vector field
 

is not incompressible.

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