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Math Help - Vector problem

  1. #1
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    Vector problem

    given that \vec{OP}=mi+9j, \vec{OQ}=6i+6j and \vec{OR}=12i+4j,find the value of m if point P,Q and R are collinear.

    please help
    Last edited by mastermin346; April 30th 2010 at 10:13 AM.
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  2. #2
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    Take a look at this picture.



    There you see vectors OQ and OR drawn.
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  3. #3
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    Quote Originally Posted by shenanigans87 View Post
    Take a look at this picture.



    There you see vectors OQ and OR drawn.

    sir..how can i get the answer?
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  4. #4
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    In order for P Q and R to be colinear they must lie on the same line. This is represented by the dashed line there. We already know the y coordinate of the missing vector. This is shown by the solid white line. So the x value must be somewhere on that line AND the dashed line. That's your answer.
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  5. #5
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    Oops
    I drew OQ wrong.I drew it as (6,9) but its supposed to.be (6,6).
    Draw your own graph and find OP by finding the intersection of QR and y=9
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