Equations of Lines and Planes in 3D - Wild Linear Algebra A - NJ Wildberger

Equations of Lines and Planes in 3D - Wild Linear Algebra A - NJ Wildberger

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Meet of lines

16 of 28

16 of 28

Meet of lines

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Equations of Lines and Planes in 3D - Wild Linear Algebra A - NJ Wildberger

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  1. 1 CONTENT SUMMARY: pg 1: @
  2. 2 pg 2: @
  3. 3 pg 3: @
  4. 4 pg 4: @
  5. 5 pg 5: @ special lines in the 2dimensional case; the x and y axes, and lines parallelel to the x and y axes;
  6. 6 pg 6: @ pencils and stacks;
  7. 7 pg 7: @ question: What does the space of all lines look like?; topologically gluing a line to every point on a circle;
  8. 8 pg 8: @ cylinder; Mobius band;
  9. 9 pg 9: @ lines and planes in 3D; planes; cartesian equation of a plane;
  10. 10 pg 10: @ solving a system of equations in 3D; matrix of determinants of minors;
  11. 11 pg 11: @ lines in 3D; two points, point and vector, intersection of 2 planes; parametric equation;
  12. 12 pg 12: @ line in cartesian and parametric form; cartesian form describes 2 planes that meet in a line;
  13. 13 pg 13: @ examples;
  14. 14 pg 14: @ meet of two planes; method found in very few linear algebra texts; a way of introducing parameters; THANKS to EmptySpaceEnterprise
  15. 15 Introduction
  16. 16 Meet of lines
  17. 17 Special lines
  18. 18 Pencils and stacks
  19. 19 What does the spaces of all lines look like?
  20. 20 Two possibilities
  21. 21 The analog of a line in 2D is a plane in 3D
  22. 22 Two planes generally meet in a line
  23. 23 Lines are determined by: two points, point + vector, two planes
  24. 24 Lines also have Cartesian equations
  25. 25 Meet of two planes
  26. 26 Parametric equation for a plane
  27. 27 Parametric to Cartesian plane
  28. 28 Cartesian to parametric plane

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