Quaternions, how to prove q^** = q

  • #1

hsong9

80
1

Homework Statement


quaternion q = a + bi + cj + dk
conjugate q* = a - bi - cj - dk

I do not know how I get (q*)* = q



The Attempt at a Solution

 
  • #2


a, b, c and d are real, aren't they? Just take the double conjugate.
 
  • #3


a,b,c, and d are real.
so just..
show that (q*)* = q
(a + bi + cj + dk)* = a - bi - cj - dk and
(a - bi - cj - dk)* = a + bi + cj + dk Complete.
is it enough?
 
  • #4


I can't think of anything I'd add.
 

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