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Math Help - quaternions

  1. #1
    Newbie
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    Dec 2008
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    quaternions

    Hamilton's fundamental equations are:
    i squared =j sq=k sq=ijk=-1

    the first part is by definition.

    my question is: can the second part ie ( i j k = -1) be derived from the first part?
    If so, how.
    I obviously have trouble!!
    many thanks for enlightening this old codger.
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  2. #2
    MHF Contributor kalagota's Avatar
    Joined
    Oct 2007
    From
    Taguig City, Philippines
    Posts
    1,026
    Quote Originally Posted by ytimmer View Post
    Hamilton's fundamental equations are:
    i squared =j sq=k sq=ijk=-1

    the first part is by definition.

    my question is: can the second part ie ( i j k = -1) be derived from the first part?
    If so, how.
    I obviously have trouble!!
    many thanks for enlightening this old codger.
    i think, ijk=-1 is part of the definition..

    it is the products ij, jk, ki, etc which we can derive from these..
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