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Math Help - Anayltic geometry

  1. #1
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    Anayltic geometry

    Question:
    The line segment joining A(1,3) and B(-2,-1) is extended through each end by a distance equal to it's original length.Find the co-ordinates of the new endpoint.

    Attempt
    I don't know what to do.
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  2. #2
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    Hello,
    Quote Originally Posted by mj.alawami View Post
    Question:
    The line segment joining A(1,3) and B(-2,-1) is extended through each end by a distance equal to it's original length.Find the co-ordinates of the new endpoint.

    Attempt
    I don't know what to do.
    Work in terms of vectors.

    The coordinates of a vector is the difference of each coordinate of its endpoints :
    \vec{AB} ~:~ (x_B-x_A ~,~y_B-y_A)=(-3,-4)

    And \vec{CA}=\vec{AB}=\vec{BD}

    That should be enough ^^

    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    seeing your other thread, you can also work with midpoints.

    A is the midpoint of CB. Find the coordinates of C.
    B is the midpoint of BD. Find the coordinates of D.

    (draw a sketch if you can't see what I'm talking about )
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