DIVERGENCE AND CURL OF A VECTOR FUNCTION
Vector Differential Calculus
Gradient, Divergence and curl
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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=drivesdkCurl of the vector function:
Exercise 9.9: