Geometry with Vectors - Wild Linear Algebra A 2 - NJ Wildberger
Explore fundamental concepts of vector geometry in this 44-minute lecture from the "Wild Linear Algebra" course by N J Wildberger at UNSW. Learn basic vector constructions, arithmetic operations, and affine combinations. Discover how to translate, add, subtract, and bisect vectors. Examine important theorems about parallelograms and triangle medians. Apply vector concepts to solve geometric problems, including proofs for the bisection of parallelogram diagonals and the concurrency of triangle medians. Gain insights into linear independence and parametric line descriptions using affine combinations. Practice with exercises on Varignon's theorem and other vector applications to enhance understanding of this geometric approach to linear algebra.