This document provides a concise overview of Quaternion representation.
A quaternion is a 4D vector that represents a point in 3D space. It's an extension of the standard 3D vector.
Key properties include: Quaternion: Q
Q: Representation of a point in 3D space. θ: The angle of rotation. φ: The phase. r: The magnitude of the vector.
The quaternion is composed of three components:q: The real part,i: The imaginary part,θ: The angle.
q: Represents the real component of the quaternion. i: Represents the imaginary component. θ: Represents the angle.
q: The real part of the quaternion. i: The imaginary part of the quaternion. θ: The angle.
q:: The real part. i: The imaginary part. θ: The angle. φ: The phase. r: The magnitude.
q:: The real part. i: The imaginary part. θ: The angle. φ: The phase. r: The magnitude. φ: The phase. r: The magnitude.
A quaternion can be represented as a vector. q: The vector. θ: The angle. φ: The phase. r: The magnitude.
q: The vector, θ: The angle. φ: The phase. r: The magnitude.