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Geometry with Vectors - Wild Linear Algebra A 2 - NJ Wildberger
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- 1 CONTENT SUMMARY: pg 1: @ how to approach the course; geometry with vectors
- 2 pg 2: @ constructions; translate a vector; create equally spaced points; add two vectors
- 3 pg 3: @ constructions; bisect a segment; trisect a segment; subtract vectors
- 4 pg 4: @ Vector Arithmetic
- 5 pg 5: Affine Combinations;
- 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 pg 7: The zero vector; Linear independence;
- 8 pg 8: Theorem: The diagonals of a parallelogram bisect each other; proof;
- 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 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 pg 11: exercise 2.2; exercise 2.3 THANKS to EmptySpaceEnterprise
- 12 Introduction
- 13 Constructions
- 14 Vector Arithmetic
- 15 Affine combinations
- 16 A special vector
- 17 Diagonals of a parallelogram
