VECTORS IN THE PLANE
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VECTORS IN THE PLANE
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48
1. Analysis of Vectors Geometrically
Theory
Page 8
1A. Basic Vector Concepts
Theory
Page 8
1A1. Directed Line Segment
Theory
Page 8
1A2. Definition of a Vector
Theory
Page 9
1A3. Equal Vectors
Theory
Page 9
1B. Vector Operations
Theory
Page 10
1B1. Addition of Vectors
Theory
Page 10
1B2. Subtraction of Vectors
Theory
Page 14
1B3. Multiplication of a Vector by a Scalar
Theory
Page 15
1C. Parallel Vectors
Theory
Page 16
1C1. Parallel Vectors
Theory
Page 16
1C2. Non-Parallel Vectors
Theory
Page 17
Activity: Traffic Signs
Problem
Page 19
Exercises 1
Problem
Page 19
2. Analysis of Vectors Analytically
Theory
Page 21
2A. Basic Concepts of Vectors in the Analytic Plane
Theory
Page 21
2A1. Axioms
Theory
Page 21
2A2. The Rectangular Coordinate System
Theory
Page 21
2A3. Position Vector
Theory
Page 22
2A4. Components of a Vector
Theory
Page 23
2A5. Equal Vectors
Theory
Page 24
2B. Vector Operations
Theory
Page 25
2B1. Addition of Vectors
Theory
Page 25
2B2. Subtraction of Vectors
Theory
Page 26
2B3. Multiplication of a Vector by a Scalar
Theory
Page 27
2B4. Standard Base Vectors
Theory
Page 28
2C. Vector Applications
Theory
Page 30
2D. Parallel Vectors
Theory
Page 32
2E. Linear Combination of Vectors
Theory
Page 33
2E1. Linear Combination of Vectors
Theory
Page 33
2E2. Linearly Dependent and Independent Vectors (Optional)
Theory
Page 35
Activity: Computer Applications
Problem
Page 36
Exercises 2
Problem
Page 36
3. The Dot Product of Two Vectors
Theory
Page 39
3A. Dot Product
Theory
Page 39
3A1. Properties of the Dot Product
Theory
Page 39
3B. Angle Between Two Vectors
Theory
Page 40
3B1. Angle Between Two Vectors
Theory
Page 40
3B2. Perpendicular and Parallel Vectors
Theory
Page 42
3C. Component of u Along v (Optional)
Theory
Page 46
Activity: Projectile Motion in Sport
Problem
Page 49
Exercises 3
Problem
Page 51
Chapter Summary
Theory
Page 53
Concept Check
Test
Page 53
Chapter Review Test 1
Test
Page 54
Chapter Review Test 2
Test
Page 56
Answers
Answer
Page 58
Glossary
Other
Page 61
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