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Math Help - 3D Engine geometry Lines in 3D space

  1. #1
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    3D Engine geometry Lines in 3D space

    I was wondering if anyone would be able to show me how to do the very end of this sum

    p(t) = p1 + t(p2 - p1)
    Find the equation of each of the following lines

    (a) The line passing through [0,1,2] and [0,2,4].

    this is my working out

    p(t) = [0,1,2] + t([0,2,4] - [0,1,2]
    p(t) = [0,1,2] + t([0,1,2])
    p(t) = [0,1,2 + t + t2].

    but the answer is [0,1+ t, 2 +2t] could someone please explain to me why its written in this order?
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  2. #2
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    Quote Originally Posted by aoibha View Post
    I was wondering if anyone would be able to show me how to do the very end of this sum p(t) = p1 + t(p2 - p1)
    Find the equation of each of the following lines
    (a) The line passing through [0,1,2] and [0,2,4].
    this is my working out

    p(t) = [0,1,2] + t([0,2,4] - [0,1,2]
    p(t) = [0,1,2] + t([0,1,2])
    p(t) = [0,1,2 + t + t2].
    but the answer is [0,1+ t, 2 +2t] could someone please explain to me why its written in this order?
    Add the coordinates place-wise.
    0+0t,1+1t,2+2t
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    Thanks!
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