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scalar projection of b onto a
(a * b) / ||a||
vector projection of b onto a
((a * b) / ||a||²) a
elipsoid
(x²/a²) + (y²/b²)+ (z²/c²) = 1
cone
plane through a point (x0, y0, z0) and normal vector n = <a, b, c>
a(x - x0) + b(y-y0) + c(z-z0)
normal vector from points A, B, C on a plane
n = AB x AC
Parametric equations for a line
x = x0 + at, y = y0 + bt, z = z0 + ct,
Unit tangent vector
r’(t) / |r’(t)|