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Math Help - Parametric Equation - method question

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    Parametric Equation - method question

    just to check really (this isn't the actual question, just an example of the type)

    Find the parametric equation of a line that passes through the points:
    A = (1, 2, 3, 4), B = (3, 4, 5, 7)

    Would i do: AB = (2, 2, 2, 3)

    So the answer would then be:
    w = 1 + 2t
    x = 2 + 2t
    y = 3 + 2t
    z = 4 + 3t

    have i done this correctly?
    I was also curious how it would even be possible to have 4 points, i didnt think it was possible to think of anything more than 3 points? (3 dimensions)

    Thanks
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    MHF Contributor matheagle's Avatar
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    It looks good.
    When t=0 you're at A and when t=1, you're at B.
    This is linear and it is in R^4
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    Quote Originally Posted by AshleyT View Post
    just to check really (this isn't the actual question, just an example of the type)

    Find the parametric equation of a line that passes through the points:
    A = (1, 2, 3, 4), B = (3, 4, 5, 7)

    Would i do: AB = (2, 2, 2, 3)

    So the answer would then be:
    w = 1 + 2t
    x = 2 + 2t
    y = 3 + 2t
    z = 4 + 3t

    have i done this correctly?
    I was also curious how it would even be possible to have 4 points, i didnt think it was possible to think of anything more than 3 points? (3 dimensions)

    Thanks
    First, you don't mean four points, you mean four components for one point. Yes, in 3 dimensions, a point is determined by 3 components (that's why it's called 3 dimensions). The fact that this problem gives four components for each point, instead of three, means you are working in four dimensions, not three dimensions.
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    Quote Originally Posted by HallsofIvy View Post
    First, you don't mean four points, you mean four components for one point. Yes, in 3 dimensions, a point is determined by 3 components (that's why it's called 3 dimensions). The fact that this problem gives four components for each point, instead of three, means you are working in four dimensions, not three dimensions.
    Yea...that's why i was curious...I didn't think 4 dimensions were possible, or thought of, so was wondering why they would include them in any type of maths question.
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    Super Member Quacky's Avatar
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