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Quaternions, how to prove q^** = q

  1. Apr 14, 2009 #1
    1. The problem statement, all variables and given/known data
    quaternion q = a + bi + cj + dk
    conjugate q* = a - bi - cj - dk

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



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 14, 2009 #2

    Dick

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    Re: Conjugate

    a, b, c and d are real, aren't they? Just take the double conjugate.
     
  4. Apr 14, 2009 #3
    Re: Conjugate

    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?
     
  5. Apr 15, 2009 #4

    Dick

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    Re: Conjugate

    I can't think of anything I'd add.
     
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