Vectors

BHNmath, May 2, 2018

Table of Contents

  1. Introduction to Vectors
    1. Equal Vectors
    2. Opposite Vectors
    3. Vector Addition (Triangle Law)
    4. Vector Addition (Parallelogram Law)
    5. Vector Subtraction (Tail-to-Tail Method)
    6. Vector Subtraction (Adding the Opposite Method)
    7. Parallel Vectors Investigation
    8. Scalar Multiple of a Vector
    9. Linear Combination of Vectors
    10. Find the Combination
    11. Linear Combination Property
  2. Applications of Vectors
    1. Groundspeed Calculator
    2. Heading Calculator
  3. Equations of Lines and Planes
    1. The Problem with y=mx+b in 3D
    2. Vector Equation of a Line in 2-Space

1.

Introduction to Vectors

  • 1. Equal Vectors
  • 2. Opposite Vectors
  • 3. Vector Addition (Triangle Law)
  • 4. Vector Addition (Parallelogram Law)
  • 5. Vector Subtraction (Tail-to-Tail Method)
  • 6. Vector Subtraction (Adding the Opposite Method)
  • 7. Parallel Vectors Investigation
  • 8. Scalar Multiple of a Vector
  • 9. Linear Combination of Vectors
  • 10. Find the Combination
  • 11. Linear Combination Property

1.1.

Equal Vectors

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1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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2.

Applications of Vectors

  • 1. Groundspeed Calculator
  • 2. Heading Calculator

2.1.

Groundspeed Calculator

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2.2.

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3.

Equations of Lines and Planes

  • 1. The Problem with y=mx+b in 3D
  • 2. Vector Equation of a Line in 2-Space

3.1.

The Problem with y=mx+b in 3D

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3.2.

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