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Vectors and Parametric Plotting

VC.01 Part A. Vectors and Parametric Plotting. Definition of a Vector. A vector is a quantity that has both a magnitude and a direction Vectors encode more information than scalars (magnitude without direction) Vectors can be represented in the plane as a directed line

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Vectors and Parametric Plotting

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  1. VC.01 Part A Vectors and Parametric Plotting

  2. Definition of a Vector • A vector is a quantity that has both a magnitude and a direction • Vectors encode more information than scalars (magnitude • without direction) • Vectors can be represented in the plane as a directed line • segment (magnitude represented by length, direction • represented by arrowhead) • Two vectors are equal if they have the same magnitude and • direction, but they don’t have to start from the same point

  3. Example 1: Defining a Vector By Its Tip and Tail

  4. Example 2: Defining a Line Parametrically

  5. Example 2: Defining a Line Parametrically

  6. Example 2: Defining a Line Parametrically

  7. Example 2: Defining a Line Parametrically

  8. Example 2: V + W and V – W

  9. Example 2: V + W and V – W

  10. Example 2: V + W and V – W

  11. Example 2: V + W and V – W

  12. Example 3: Dot Product

  13. Example 3: Dot Product

  14. Example 4: Projection/Push-Pull

  15. Example 4: Projection/Push-Pull

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