Vector Algebra | Complete concepts and examples on vectors

Course Curriculum

Chapter 1: Introduction

Lecture 1: 1.Introduction and Types of vectors

Lecture 2: Illustration 1

Lecture 3: Illustration 2

Chapter 2: Algebra of Vectors

Lecture 1: Addition and subtraction of Vectors and Properties

Lecture 2: Multiplication of a vector by a scalar

Lecture 3: Illustration 1

Lecture 4: Illustration 2

Lecture 5: Illustration 3

Lecture 6: Illustration 4

Lecture 7: Illustration 5

Lecture 8: Illustration 6

Chapter 3: Some More Concepts

Lecture 1: Concept of Position vector

Lecture 2: Illustration 1

Lecture 3: Illustration 2

Lecture 4: Section Formula

Lecture 5: Illustration 1

Lecture 6: Illustration 2

Lecture 7: Illustration 3

Lecture 8: Illustration 4

Lecture 9: Unit vectors i,j,k in OX,OY,OZ directions

Lecture 10: Illustration 1

Lecture 11: Illustration 2

Lecture 12: Illustration 3

Lecture 13: Illustration 4

Lecture 14: Illustration 5

Lecture 15: Illustration 6

Lecture 16: Q.no.7

Lecture 17: Concept of Direction cosines

Lecture 18: Illustration 1

Lecture 19: Illustration 2

Lecture 20: Collinearity of Vectors

Lecture 21: Illustration 1

Lecture 22: Illustration 2

Lecture 23: Illustration 3

Lecture 24: Illustration 4

Lecture 25: Linear Combination of Vectors

Lecture 26: Coplanarity of Vectors

Lecture 27: Illustration1

Lecture 28: Illustration2

Lecture 29: Illustration3

Lecture 30: Illustration4

Chapter 4: Additional Examples

Lecture 1: Example1

Lecture 2: Example2

Lecture 3: Example-3

Lecture 4: Example-4

Chapter 5: Product of Two Vectors

Lecture 1: Product of two vectors-Dot and cross products

Lecture 2: Geometrical Interpretation of Dot Product

Lecture 3: Geometrical Interpretation of Cross Product

Lecture 4: Illustration 1

Lecture 5: Illustration 2

Lecture 6: Illustration 3

Lecture 7: Illustration 4

Lecture 8: Illustration 5

Lecture 9: Illustration 6

Lecture 10: Illustration 7

Lecture 11: Illustration 8

Lecture 12: Illustration 9

Lecture 13: Illustration 10

Lecture 14: Illustration 11

Lecture 15: Illustration 12

Lecture 16: Illustration 13

Lecture 17: Illustration 14

Lecture 18: Illustration 15

Lecture 19: Illustration 16

Lecture 20: Illustration 17

Lecture 21: Illustration 18

Lecture 22: Illustration 19

Lecture 23: Practice Sheet-1

Lecture 24: Practice Sheet-2

Chapter 6: Product of Three Vectors

Lecture 1: Basic Concepts

Lecture 2: Illustration 1

Lecture 3: Illustration 2

Lecture 4: Illustration 3

Lecture 5: Illustration 4

Lecture 6: Illustration 5

Lecture 7: Illustration 6

Lecture 8: Illustration 7

Lecture 9: Illustration 8

Lecture 10: Illustration 9

Lecture 11: Illustration 10

Lecture 12: Illustration 11

Lecture 13: Illustration 12

Lecture 14: Illustration 13

Lecture 15: Illustration 14