Quaternion Magnitude

Math

Calculate quaternion magnitude. Formula: |q| = √(w²+x²+y²+z²). Used in 3D rotations and graphics. Educational reference.

Formula

|q| = √(w²+x²+y²+z²)

(1, 0, 0, 0) unit quaternion

Inputs
  • w (scalar part): 1
  • x (i component): 0
  • y (j component): 0
  • z (k component): 0

Magnitude = 1

Frequently asked questions

Unit quaternion?
Magnitude = 1; used for pure rotations