Orthogonality

Jonathan Holland, 6/4/2018


  • 1. Airplane with attitude indicator and compass
  • 2. Duck reflections
  • 3. Reflection in a line
  • 4. Plane reflection reverses orientation
  • 5. Line reflection in three dimensions preserves orientation
  • 6. Point reflection in three dimensions reverses orientation
  • 7. Gram-Schmidt
  • 8. Constuct the orthogonal projection
  • 9. Orthogonal components of a vector in 3D
  • 10. Orthogonal components of a vector
  • 11. The axis of a rotation
  • 12. Foci of a hyperbola

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Airplane with attitude indicator and compass

– Jonathan Holland

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