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Coordinates and Vectors

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Table of contents

  1. Coordinates with Vectors
  2. Adding and Subtracting with Coordinates
  3. Practice

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1.

Coordinates with Vectors

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Coordinates in Two Dimensions

  • Geometric vectors work well, but sometimes it is easier to break the vector up into coordinates
  • Coordinates for vectors work in a similar way as coordinates for points
  • Each coordinate states how far to go along that coordinate direction

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Uniqueness of Vectors

  • For the Cartesian plane and other dimensional spaces
    • All vectors have unique coordinates (x, y, z, …)
    • If tail at origin then head at coordinates given by vector coordinates

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Plane vs 3-Space

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3-Space Planes

  • Coordinates follow the right-hand rule

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2.

Adding and Subtracting with Coordinates

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Operations with Coordinates

  • Given two vectors with coordinates:
  • Addition and subtraction is performed component-wise
    • Each set of coordinates are added or subtracted

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3.

Practice

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Practice

  • See the examples

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Credits

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

  • Presentation template by SlidesCarnival
  • Photographs by Unsplash
  • Learn more about slidedocs at duarte.com/slidedocs

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