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Math Help - Getting the volume of a parallelepiped defind by 3 R^4 Vectors

  1. #1
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    Getting the volume of a parallelepiped defind by 3 R^4 Vectors

    I've a parallelepiped defined by Three R4 Vectors A,B and C and I'm trying to get it's volume

    A= [3,0,-4,0]
    B= [0,2,0,-2]
    C= [0,1,0,1]

    Can anybody help?
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  2. #2
    Super Member ILikeSerena's Avatar
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    Re: Getting the volume of a parallelepiped defind by 3 R^4 Vectors

    Quote Originally Posted by ahmedzoro10 View Post
    I've a parallelepiped defined by Three R4 Vectors A,B and C and I'm trying to get it's volume

    A= [3,0,-4,0]
    B= [0,2,0,-2]
    C= [0,1,0,1]

    Can anybody help?
    Hi ahmedzoro10!

    Do you have a formula to calculate the volume of a 3-dimensional parallelepiped in 4 dimensions?
    Perhaps the Gram determinant?
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  3. #3
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    Re: Getting the volume of a parallelepiped defind by 3 R^4 Vectors

    Quote Originally Posted by ILikeSerena View Post
    Hi ahmedzoro10!

    Do you have a formula to calculate the volume of a 3-dimensional parallelepiped in 4 dimensions?
    Perhaps the Gram determinant?
    oh yea!!
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