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1. Concept of Vector

To understand the concepts of physics clearly, it is important to know the difference between scalars and vectors first. But is it enough to know that scalars have magnitude alone, while vectors have both magnitude and direction? How do we represent a vector? What are its properties? What are null vectors and unit vectors? What are the basic laws of vector algebra, and where do we apply them? The video lecture “Concept of Vector” answers some of these questions, and more.

2. Resolution of Vector

When a vector is resolved, its component vectors produce together the same effect as the original vector does alone. We can resolve a vector into any number of component vectors, or we can resolve it along two arbitrary directions. But most often we resolve a vector along two mutually perpendicular directions, say along x- and y-axes. What are the techniques of resolution? What are the component vectors? How to find the original vector if the components are known? How to add several vectors by using the method of resolution? The video lecture “Resolution of a Vector” answers some of these questions, and more.

3. Some Definitions on Vector.

4. Addition of Vectors

5. Subtraction of Vectors

6. Examples of Vector Addition and Subtraction

7. Resolution of Position Vector in space

8. Addition of Vectors by Resolution

9. Scalar Product of Two Vectors

10. Problems on Scalar Product of Vectors I

11. Problems on Scalar Product of Vectors II

12. Vector Product of Two Vectors

13. Problems on Vector Product of Vectors