DIVERGENCE AND CURL OF A VECTOR FUNCTION

                 Vector Differential Calculus
                Gradient, Divergence and curl
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                                                               - Hamilton
Introduction : 
  The concepts of gradient, divergence, and curl are of fundamental importance in vector calculus and frequently applied in vector fields.
Gradient is used to transform the scalar function to vector function. Then, the Gradient is a vector quantity. 

 Divergence is used to check the type of fluid that flows in a given point in a given area. It converts vector function to scalar function. Thus, it is a scalar quantity.

Curl of the vector field is used to find the rotational property of the rigid body about a fixed axis. It converts vector function to vector function. So , curl is a vector quantity.
CURL of the vector


a. Gradient.            b. Curl.            c. Divergence


Divergence of the vector function:
Exercise 9.8:
https://drive.google.com/file/d/122HxmWttD2rp0ts8CBut8jgVqcIh82hV/view?usp=drivesdk

Curl of the vector function:
Exercise 9.9:


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