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Vector-Calculus

34 posts

PYQ on Multivariate Calculus - II

Last Updated: 18 October 2025

In examinations, questions from Multivariable Calculus-II are often asked in the form of evaluating double and triple integrals, changing the order of integration, and app...read more

Engineering Mathematics

Vector-Calculus

Dirichlet’s Integral

Last Updated: 16 October 2025

Dirichlet’s integral is a fundamental improper integral in mathematical analysis named after the mathematician Peter Gustav Lejeune Dirichlet. Ittypically refers to the im...read more

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Engineering Mathematics

Vector-Calculus

PYQ on Vector Calculus | Engineering Mathematics

Last Updated: 11 October 2025

In examinations, questions from Vector Calculus are often asked in the form of evaluating line integrals, surface integrals, and volume integrals of vector fields. Unlike ...read more

Engineering Mathematics

Vector-Calculus

Vector Differentiation

Last Updated: 08 October 2025

In Engineering Mathematics, vectors are used to represent physical quantities that have magnitude and direction, such as displacement, velocity. Often, these vectors chang...read more

Vector-Calculus

Vector Calculus Identities

Last Updated: 06 October 2025

Vectors are fundamental tools in engineering, mathematics, and physics. They are widely used in mechanics, electromagnetism, fluid dynamics, and computer graphics. Vector ...read more

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Vector-Calculus

Inner Product on Vector

Last Updated: 10 May 2025

The inner product, also called the dot product, is one of the most fundamental operations in linear algebra. It measures the similarity between two vectors and plays a cru...read more

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School Learning

Vector-Calculus

Practice Questions on Vector Algebra (Hard)

Last Updated: 09 June 2026

Vector algebra is the branch of mathematics that deals with vector quantities that have both magnitude (size) and direction.Question 1: Show that the points A(2\hat{i} - \...read more

School Learning

Vector-Calculus

Vector Algebra Practice Questions (Medium)

Last Updated: 09 June 2026

A vector is a quantity that has both magnitude and direction, and vector algebra provides the tools to perform calculations and solve problems involving vectors.Question 1...read more

Web Technologies

School Learning

Vector-Calculus

Vector Algebra Practice Questions (Easy)

Last Updated: 09 June 2026

Vector Algebra is a branch of mathematics that deals with vectors and their operations. A vector is a quantity that has both magnitude and direction, and vector algebra pr...read more

School Learning

Vector-Calculus

Vectors in Maths

Last Updated: 08 December 2025

In mathematics, vectors are fundamental objects that represent quantities with both magnitude and direction. They are widely used in various branches of mathematics, phys...read more

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School Learning

Vector-Calculus

Last Updated: 23 July 2025

A vector norm, sometimes represented with a double bar as ∥x∥, is a function that assigns a non-negative length or size to a vector x in n-dimensional space. Norms are ess...read more

Vector-Calculus

Basis and Dimension in Vector Space

Last Updated: 23 July 2025

Vector Spaces are a fundamental concept in machine learning and mathematics, providing the structure for various operations in high-dimensional data processing. A vector s...read more

Vector-Calculus

How to find the slope for a three-dimensional line?

Last Updated: 23 July 2025

In three dimensions, lines don’t have a single slope like in 2D. Instead, use the direction vector, which shows the line’s direction. To find it:Identify two points on the...read more

Vector-Calculus

Modulus and Conjugate of a Complex Number

Last Updated: 23 July 2025

Complex numbers find application in different areas of mathematics and engineering science. With complex numbers, there are two significant values: modulus and conjugate. ...read more

School Learning

Vector-Calculus

Divergence Theorem Practice Problems

Last Updated: 23 July 2025

The Divergence Theorem is a fundamental result in vector calculus and physics. It relates the flux of the vector field through a closed surface to the divergence of the fi...read more

Engineering Mathematics

Vector-Calculus

Practice Questions

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