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Math Help - Sum of points on the line

  1. #1
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    Sum of points on the line

    Hi,
    I have lines such as that first line has 2 point (1,0,-1) and (4,1,-3) and when i check the sum which is (5,1,-4) it is not on the line.
    Then I have line that has (2,-1,3) and (10,-5,15) and its sum is (12,-5,15) is on the line. I was wondering why the sum in some cases is on the line and in some it is not.
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  2. #2
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    Quote Originally Posted by joker40 View Post
    Hi,
    I have lines such as that first line has 2 point (1,0,-1) and (4,1,-3) and when i check the sum which is (5,1,-4) it is not on the line.
    Then I have line that has (2,-1,3) and (10,-5,15) and its sum is (12,-5,15) is on the line. I was wondering why the sum in some cases is on the line and in some it is not.
    it works because one of the points is a scalar multiple of the other ...

    5(2,-1,3) = (10,-5,15)
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  3. #3
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    yes but.....

    Yes exactly. We are talking here about the point not vector scalars. those are just point not vectors. I didnt know we can take scalar of points....My assumption is that if we have vector for example (1,2,3) then any vector k(1,2,3) is on same line...
    am i correct?
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  4. #4
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    Quote Originally Posted by joker40 View Post
    Yes exactly. We are talking here about the point not vector scalars. those are just point not vectors. I didnt know we can take scalar of points....My assumption is that if we have vector for example (1,2,3) then any vector k(1,2,3) is on same line...
    am i correct?
    yes
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  5. #5
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    but....?

    but those values are point not vectors.
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  6. #6
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    Quote Originally Posted by joker40 View Post
    but those values are point not vectors.
    but they behave the same way as vectors ... draw a line from the origin to the point.
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