Vector Algebra in Maths

Vector Algebra is a branch of mathematics that deals with vectors, their properties, and operations. It is crucial in various fields such as physics, engineering, computer science, and more. Understanding vector algebra is essential for solving problems involving direction and magnitude in multiple dimensions.

We can add, subtract, and multiply vector quantities using special vector algebra rules. Vectors can be easily represented in 2-D or 3-D spaces. Vector algebra has various applications. It is used in solving various problems in mathematics and physics, engineering, and various other fields.

Vector Algebra for Students

This section covers key concepts in vector algebra, including vector operations, properties, and applications, helping students develop skills in solving problems involving vectors and vector spaces.

• Vectors in Maths
• Components of a Vector
• Scalar vs Vector Quantities
• Types of Vectors
• Properties of Vectors
• Angle between Two Vectors
• Orthogonal Vectors
• Section Formula
• Vector Space
• Vector Subspaces
• Basis and Dimension in Vector Space
• Linear Independence
• Applications of Vectors

Vector Operations

Vector Operations such as addition, subtraction, scalar multiplication, and dot and cross product, helping you understand how to manipulate vectors and apply them in real-world problems.

• Vector Addition
• Dot Product of Two-Vector
• Cross Product of Two Vectors
• Vector Triple Product
• Vector Projection: [ Scalar and Vector ]

Practice Questions on Vectors

This section provides practice questions on vector algebra, ranging from easy to hard, including specific problems on the vector triple product to help reinforce key concepts and enhance problem-solving skills.

• Vector Algebra Practice Questions (Easy)
• Vector Algebra Practice Questions (Medium)
• Vector Algebra Practice Questions (Hard)
• Vector Triple Product Practice Problems

Vector Algebra For Programmers

In this section, programmers will learn how to implement vector algebra concepts in Python, including vector operations, calculating the magnitude of a vector, performing vector projection, and working with 3D vectors.

• Vector Operations Program
• Program to find the Magnitude of a Vector
• Vector Projection using Python
• Implementing 3D Vectors

Vector Algebra: Definition, Formulas, Operations, Examples & FAQs

Vector Algebra: Definition, Formulas, Operations, Examples & FAQs

Dot Product on Vectors in Maths

How to Find the Angle Between Two Vectors

Linear Independence of Vectors

Vector Space- Definition, Axioms, Properties and Examples