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Math Help - parametric equation of a line in R^4

  1. #1
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    parametric equation of a line in R^4

    How do you find the parametric equation of a line in R^4 that passes through the points (1,2,3,4) and (5,6,7,8)?
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  2. #2
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    Well, the general form of a line in any dimensions looks like this:

    \mathbf{y}=t\,\mathbf{v}+\mathbf{b},

    where \mathbf{v} is a vector parallel to the line, and \mathbf{b} is a vector from the origin to a point on the line. How could you get \mathbf{v} and \mathbf{b}?
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  3. #3
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    Quote Originally Posted by Ackbeet View Post
    Well, the general form of a line in any dimensions looks like this:

    \mathbf{y}=t\,\mathbf{v}+\mathbf{b},

    where \mathbf{v} is a vector parallel to the line, and \mathbf{b} is a vector from the origin to a point on the line. How could you get \mathbf{v} and \mathbf{b}?
    How do you get v and b ?
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  4. #4
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    How do you get v and b?
    That's what I just asked you! Think to yourself: I've got two points on the line. There should be a way, from that information alone, to get a vector parallel to the line. What do you suppose that method is?
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