3D Rotations in General: Rodrigues Rotation Formula and Quaternion Exponentials

In this video, we will discover how to rotate any vector through any axis by breaking up a vector into a parallel part and a perpendicular part. Then, we will use vector analysis (cross products and dot products) to derive the Rodrigues rotation formula and finish with a quaternion point of view. Using quaternions allows us to write a very compact formula which will be familiar to those who have used quaternions to do rotations.

Mathematics,3D rotation,Rotation,Quaternion,Algebra,Math,Abstract algebra,Physics,Complex number,Mathematical analysis,Calculus,Imaginary number,Number,Computer graphics,Computer programming,Programming,Computer science,