Homogeneous coordinates are a way of representing N-dimensional coordinates with N+1 numbers in order to make computation possible in projective space.
Euler equation shows a deep relationship between trigonometric functions and the complex exponential function.
The equation of a line is defined with 2 known points. This page describes a line equation using parametric form; a point
on the line and the direction vector
of the line.
The equation of a plane in 3D space is defined with normal vector (perpendicular to the plane) and a known point on the plane.
Quaternion is a geometrical operator to represent the relationship between two vectors in 3D space. Quaternion requires 4 parameters; one real number and 3 imaginary numbers.
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