Geometry with Vectors - Wild Linear Algebra A 2 - NJ Wildberger
Insights into Mathematics via YouTube
Overview
Syllabus
CONTENT SUMMARY: pg 1: @ how to approach the course; geometry with vectors
pg 2: @ constructions; translate a vector; create equally spaced points; add two vectors
pg 3: @ constructions; bisect a segment; trisect a segment; subtract vectors
pg 4: @ Vector Arithmetic
pg 5: Affine Combinations;
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;
pg 7: The zero vector; Linear independence;
pg 8: Theorem: The diagonals of a parallelogram bisect each other; proof;
pg 9: Theorem: The medians of a triangle are concurrent, meeting at a point G which divides each in the proportion 2:1 ; proof
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
pg 11: exercise 2.2; exercise 2.3 THANKS to EmptySpaceEnterprise
Introduction
Constructions
Vector Arithmetic
Affine combinations
A special vector
Diagonals of a parallelogram
Taught by
Insights into Mathematics