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12.8. The Angle Between the Directions of Two Vectors
12.8. The Angle Between the Directions of Two Vectors
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Table of Contents
1. TRIGONOMETRY
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. PROBABILITY
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. MATRICES I
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. MATRICES II
4.1. Determinant of a 3 x 3 Matrix
1h 1m 44s
4.2. Crammer’s Rule
33m 42s
5. LINEAR TRANSFORMATION
5.1. Linear Transformation (Part 1)
1h 31m 9s
5.2. Linear Transformation (Part 2)
1h 44m 43s
6. DIFFERENTIATION
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. RULES OF DIFFERENTIATION
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. APPLICATION OF DIFFERENTIATION
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. INTEGRATION
9.1. Indefinite Integrals
1h 32m 3s
9.2. Definite Integrals
1h 14m 7s
9.3. Integration by Substitution
22m 21s
10. APPLICATION OF INTEGRATION
11. KINEMATICS
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. VECTORS
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. MECHANICS
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
14. STATISTICS
15. CORRELATION AND REGRESSION
16. LOGICAL REASONING
WASSCE 2022 MAY/JUNE
Questions & Answers
1h 36m 16s