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Math Help - Orthogonality problem

  1. #1
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    Orthogonality problem

    Hi guys,

    Hi,

    How to have orthogonal values if the value of 3 variables (A,B,C) can only be 1 and -1 ?

    So that A.B, B.C and A.C will result in orthogonal (meaning dot product is zero)

    So example, A = 1, 1 B = 1 -1 C = -1 1. I am sure whether this is too confusing since not many has replied whether is this possible and if possible any hints / clue to do it?thanks.
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  2. #2
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    Re: Orthogonality problem

    Quote Originally Posted by drogba View Post
    How to have orthogonal values if the value of 3 variables (A,B,C) can only be 1 and -1 ?

    So that A.B, B.C and A.C will result in orthogonal (meaning dot product is zero)

    So example, A = 1, 1 B = 1 -1 C = -1 1. I am sure whether this is too confusing since not many has replied whether is this possible and if possible any hints / clue to do it?thanks.
    do you mean A = (a, b ,c) B = (q, w, e) C = (z, x, v) where a,b,c,q,w,e,z,x,v= 1 or -1

    such that

    A.B=A.C=B.C=0 ?

    Is this even possible?

    I think the closest you can get the dot produce to zero is 1 or -1
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  3. #3
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    Re: Orthogonality problem

    Yep. So its not possible?strange because i have this kind of question and i am wondering how i can do it. Thanks for the reply anyway.
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  4. #4
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    Re: Orthogonality problem

    Are the only possible values "1 and -1" or "1, 0, and -1"? The latter seems much more reasonable to me.

    Perhaps it would make more sense if you would state the entire problem.
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  5. #5
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    Re: Orthogonality problem

    The a, b, c are vectors I presume, it is not possible to have three orthoganl vectors in 2D space ie A=(1,1) etc - try and draw it..... full question needed I think to advise on this one
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