Conjugate and Inverse Quaternions

Join the discussion
Registration is free. Start your own thread to ask a follow-up.
Sign up Log in
1 reply · 5K views
Amy54
Messages
12
Reaction score
0
Does an inverse exist for every quaternion under multiplication??
 
Physics news on Phys.org

Discussion

Yes... The quaternions are a skew field, or a non-commutative division ring.
 

Similar threads

Graduate Quaternions and Video Game Design
  • Ben2
  • · Replies 10 ·
  • Linear and Abstract Algebra
Replies
10
Graduate How to take the spatial derivative of quaternions
  • FQVBSina_Jesse
  • · Replies 8 ·
  • Calculus
Replies
8
Undergrad Quaternions and Special Relativity
  • grzz
  • · Replies 20 ·
  • Special and General Relativity
Replies
20
Undergrad Error in Euler angles and quaternions
  • jonagad
  • · Replies 1 ·
  • Astronomy, Astrophysics, Cosmology
Replies
1
Graduate Quaternions: Extension of Real Numbers?
  • Topolfractal
  • · Replies 6 ·
  • Linear and Abstract Algebra
Replies
6
Undergrad Modeling Asteroid Rotation Using Quaternions: Seeking Guidance on Init
  • Codezero
  • · Replies 3 ·
  • Differential Equations
Replies
3
Does Property (2) Imply Property (1) for Unit Quaternions?
  • Math Amateur
  • · Replies 2 ·
  • Linear and Abstract Algebra
Replies
2
Rotating object using product of two quaternions
  • Nahrawess
  • · Replies 1 ·
  • Advanced Physics Homework Help
Replies
1
Insights Quaternions in Projectile Motion
  • neilparker62
  • · Replies 2 ·
  • Mechanics
Replies
2
Graduate Intuitive understanding of quaternions
  • Nathew
  • · Replies 8 ·
  • Linear and Abstract Algebra
Replies
8