12.6. Unit Vectors

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Table of Contents
1.1 Trigonometric Identities

2h 38m 48s

1.2 Trigonometric Equations

48m 59s

1.3 Maximum And Minimum Values Of A Trigonometric Function

53m 42s

1.4 Circular Measure

1h 21m 39s
2.1. Introduction and Worked Examples

1h 10m 48s

2.2. Mutually Exclusive and Independent Events

1h 54m 20s

2.3. Conditional Events

1h 21m 7s

2.4. The Binomial Distribution (Repeated Trials)

1h 28m 4s
3.1. Introduction to Matrices

7m 40s

3.2. Equal Matrices

38m 39s

3.3. Types, Addition and Subtraction of Matrices

23m 42s

3.4. Multiplication of a Matrix by a Scalar

25m 43s

3.5. Multiplication of Matrices

2h 26m 10s

3.6. Determinant of a 2 x 2 Matrix

51m 50s

3.7. Inverse of a Matrix

1h 42m 40s

3.8. Matrix Equations

28m 22s
4.1. Determinant of a 3 x 3 Matrix

1h 1m 44s

4.2. Crammer’s Rule

33m 42s
5.1. Linear Transformation (Part 1)

1h 31m 9s

5.2. Linear Transformation (Part 2)

1h 44m 43s
6.1. Limits of a Function

1h 7m 59s

6.2. Limits of a Trigonometric Function

23m 59s

6.3. Differentiation from First Principle

59m 46s
7.1. Some Basic Rules of Differentiation

31m 15s

7.2. The Product Rule

24m 59s

7.3. The Quotient Rule

12m 21s

7.4. The Chain Rule

40m 3s

7.5. Higher Derivatives

20m 10s

7.6. Implicit Differentiation

45m 47s
8.1. Increasing and Decreasing Functions

22m 58s

8.2. Gradient, Tangent and Normal to a Curve

1h 48m 48s

8.3. Stationary Points, Stationary Values and their Nature

1h 6m 56s

8.4. Application of Maximum and Minimum Values

1h 33m 53s

8.5. Curve Sketching

40m 38s

8.6. Rates of Change

1h 3s

8.7. Small Changes; Approximate Change

45m 12s
9.1. Indefinite Integrals

1h 32m 3s

9.2. Definite Integrals

1h 14m 7s

9.3. Integration by Substitution

22m 21s
11.1. Uniform Acceleration

1h 18m 49s

11.2. Vertical Motion Under Gravity

58m 49s

11.3. Velocity Time Graph

1h 14m 56s

11.4. Variable Acceleration

2h 33m 15s
12.1. Multiplication of a Vector by a Scalar

7m 1s

12.2. Modulus or Magnitude or a Length of a Vector

32m 3s

12.3. Equality of Vectors

34m 40s

12.4. Position of Vectors

14m 38s

12.5. Division Theorem

1h 10m 39s

12.6. Unit Vectors

56m 50s

12.7. Scalar (or Dot) Product

1h 18m 23s

12.8. The Angle Between the Directions of Two Vectors

1h 43m 57s
13.1. Newton’s Second Law and its Application

4h 31m 30s

13.2. Equilibrium of Forces

58m 40s

13.3. Lami’s Principle

1h 44m 29s

13.4. Impulse – Momentum Relations

38m 25s

13.5. The Principle of Conservation of Linear Momentum

1h 16m 34s

13.6. Moments

1h 58m 21s

13.7. Friction and Inclined Plane

46m 42s
Questions & Answers

1h 36m 16s

12.6. Unit Vectors

12.6. Unit Vectors

Table of Contents