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Projections

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Agenda

  • Why Use Projections?
  • How to Use Projections
  • Practice

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Why Use Projections?

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Why Use Projections?

  • A projection takes a vector and “projects” it in the direction of a different vector
  • Frequently used in navigation, mechanics, and computer graphics

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How to Use Projections

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How to Use Projections

  • We saw dot product defined in terms of (informal) projections earlier
  • The definition of projection uses the dot product for its formula

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How to Use Projections

  • Computing the formula for the projection of a onto b is on the Jamboard V7 Examples Projections

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  • Sometimes the length of the projection is called the scalar projection

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Direction Cosines

  • The angle between a vector and its axes is found using the direction cosines
  • These angles are called the direction angles and are also called alpha, beta, gamma
  • See Jamboard V7 Examples Projections

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Practice

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Practice

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CREDITS

Special thanks to all the people who made and released these awesome resources for free:

  • Presentation template by SlidesCarnival

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