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Vector Calculus: Divergence & Curl Video Lecture | Question Bank for GATE Computer Science Engineering - Computer Science Engineering (CSE)
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FAQs on Vector Calculus: Divergence & Curl Video Lecture - Question Bank for GATE Computer Science Engineering - Computer Science Engineering (CSE)
| 1. What is the concept of divergence in vector calculus? |  |
Ans. Divergence in vector calculus measures the rate at which a vector field is spreading out from a specific point. It is a scalar quantity that represents the flux density of a vector field at a given point.
| 2. How is divergence calculated for a vector field? | |
Ans. The divergence of a vector field is calculated using the dot product of the del operator (∇) with the vector field. Mathematically, it is expressed as the sum of the partial derivatives of the vector field components with respect to each spatial variable.
| 3. What does the curl represent in vector calculus? | |
Ans. The curl in vector calculus represents the rotational behavior of a vector field. It measures the amount of circulation or rotation at a given point in the field. The curl is also a vector quantity, which is perpendicular to the plane of rotation.
| 4. How can the curl of a vector field be computed? | |
Ans. The curl of a vector field can be computed by taking the cross product of the del operator (∇) with the vector field. This involves calculating the determinant of a matrix formed by the partial derivatives of the vector field components.
| 5. What is the significance of divergence and curl in computer science engineering? | |
Ans. Divergence and curl have various applications in computer science engineering. They are widely used in fields such as computer graphics, fluid dynamics, electromagnetics, and image processing. Understanding divergence and curl allows engineers to analyze and manipulate vector fields, which are essential in many computational algorithms and simulations.
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Nov 18, 2024 Last updated |
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