Geometry with Vectors - Wild Linear Algebra A 2 - NJ Wildberger

Geometry with Vectors - Wild Linear Algebra A 2 - NJ Wildberger

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CONTENT SUMMARY: pg 1: @ how to approach the course; geometry with vectors

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1 of 17

CONTENT SUMMARY: pg 1: @ how to approach the course; geometry with vectors

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Geometry with Vectors - Wild Linear Algebra A 2 - NJ Wildberger

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  1. 1 CONTENT SUMMARY: pg 1: @ how to approach the course; geometry with vectors
  2. 2 pg 2: @ constructions; translate a vector; create equally spaced points; add two vectors
  3. 3 pg 3: @ constructions; bisect a segment; trisect a segment; subtract vectors
  4. 4 pg 4: @ Vector Arithmetic
  5. 5 pg 5: Affine Combinations;
  6. 6 pg 6: general affine combination of vectors a and b; a way of describing the line parametrically; coefficients of the vectors add up to 1;
  7. 7 pg 7: The zero vector; Linear independence;
  8. 8 pg 8: Theorem: The diagonals of a parallelogram bisect each other; proof;
  9. 9 pg 9: Theorem: The medians of a triangle are concurrent, meeting at a point G which divides each in the proportion 2:1 ; proof
  10. 10 pg 10: Theorem concerning the ratio of 2 parallel vectors a and b contained by 2 vectors c and d radiating from the same point; exercise 2.1 Varignon's theorem
  11. 11 pg 11: exercise 2.2; exercise 2.3 THANKS to EmptySpaceEnterprise
  12. 12 Introduction
  13. 13 Constructions
  14. 14 Vector Arithmetic
  15. 15 Affine combinations
  16. 16 A special vector
  17. 17 Diagonals of a parallelogram

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