Vector Algebra (Part I): A Pre-Calculus Series

Course Curriculum

Chapter 1: Module 1 – Vector Basics

Lecture 1: Introduction to Vectors & Difference between Scalar and Vector

Lecture 2: Representation of a Vector

Lecture 3: Magnitude of Vector and Concept of Unit vector

Lecture 4: Properties of Vectors

Lecture 5: Direction and Types of Vectors

Lecture 6: Module 1_Solved Examples – Part #1

Lecture 7: Module 1_Solved Examples – Part #2

Lecture 8: Module 1_Solved Examples – Part #3

Chapter 2: Module 2 – Graphical Exposure to Vectors

Lecture 1: Vector Addition: Triangle Law

Lecture 2: Vector Addition: Parallelogram Law & Polygon Law Concept

Lecture 3: Finding Components of Vector

Lecture 4: Vectors Components in Quadrants

Lecture 5: Module 2_Solved Example – #1

Lecture 6: Module 2_Solved Example – #2

Lecture 7: Module 2_Solved Example – #3

Chapter 3: Module 3 – Dot Product (Scalar Product)

Lecture 1: How to find the Dot product of two vectors?

Lecture 2: Dot Product: Physical Significance

Lecture 3: Dot Product: Properties

Lecture 4: Dot Product: Angle between Two Vectors

Lecture 5: Module 3_Solved Example #1

Lecture 6: Module 3_Solved Example #2

Lecture 7: Module 3_Solved Example #3

Lecture 8: Module 3_Solved Example #4

Lecture 9: Module 3_Solved Example #5

Lecture 10: Module 3_Solved Example #6

Chapter 4: Module 4 – Cross Product (Vector Product)

Lecture 1: How to finding the Cross Product of two vectors

Lecture 2: Cross Product: Physical Significance

Lecture 3: Cross Product: Properties

Lecture 4: Cross Product: Applications

Lecture 5: Module 4_Solved Example #1

Lecture 6: Module 4_Solved Example #2

Lecture 7: Module 4_Solved Example #3

Chapter 5: Module 5 – Important Concepts: Dot and Cross Product

Lecture 1: Insight: Dot and Cross Product

Lecture 2: Comparison: Dot and Cross Product

Lecture 3: Angle between two Vectors

Lecture 4: Important Observations

Lecture 5: Module 5-Solved Example #1

Lecture 6: Module 5-Solved Example #2

Lecture 7: Module 5-Solved Example #3

Lecture 8: Module 5-Solved Example #4

Lecture 9: Module 5-Solved Example #5

Chapter 6: Module 6 – Applications Dot and Cross Product

Lecture 1: Work Done by a Force

Lecture 2: Moment or Torque of Force about a point

Lecture 3: Area of a Triangle

Lecture 4: Area of a Parallelogram: Using Adjacent sides

Lecture 5: Area of a Parallelogram: Using Diagonals

Lecture 6: Module 6-Solved Example #1

Lecture 7: Module 6-Solved Example #2

Lecture 8: Module 6-Solved Example #3

Lecture 9: Module 6-Solved Example #4

Lecture 10: Module 6-Solved Example #5

Lecture 11: Module 6-Solved Example #6