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Math Help - Cross product in four dimensions?

  1. #1
    Junior Member
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    Cross product in four dimensions?

    Hello,

    I need to take the cross product of two four dimensional vectors, but I can't find help anywhere except for up to 3 dimensions.

    Thanks!
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  2. #2
    Super Member redsoxfan325's Avatar
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    Re: Cross product in four dimensions?

    Quote Originally Posted by tubetess123 View Post
    Hello,

    I need to take the cross product of two four dimensional vectors v_1 and v_2, but I can't find help anywhere except for up to 3 dimensions.

    Thanks!
    The cross product is only defined in three dimensions. However, you can always find a vector w orthogonal to v_1 and v_2 (I named your vectors) by solving the two equations \langle v_1,w\rangle=0 and \langle v_2,w\rangle=0.
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  3. #3
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    Re: Cross product in four dimensions?

    So what about finding the points on two lines that are of minimum distance from each other?
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