Theorems Proved with Vectors
Four geometry theorems · Triangle law and scalar product
Prove the mid-point theorem with vectors
Show the mid-point of a hypotenuse is equidistant from the vertices
Show mid-points of a quadrilateral form a parallelogram
Prove the angle in a semicircle is 90 degrees
Find mid-points and dividing points with vectors
Triangle law: AB + BC = AC
Parallel: a = k b
Perpendicular: a · b = 0
(a + b) · (a - b) = |a|² - |b|²
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