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Math Help - Vectors question

  1. #1
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    Vectors question

    I can't finish this attached vectors question.
    Attached Thumbnails Attached Thumbnails Vectors question-vec3quest.jpg   Vectors question-workvec3.jpg  
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  2. #2
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    Quote Originally Posted by Stuck Man View Post
    I can't finish this attached vectors question.
    Dear Stuck Man,

    There is a calculation error in your result for \overline{PQ}. It must be, \overline{PQ}=\frac{1}{2}\underline{b}-\frac{3}{10}\underline{a}.

    After you correct this you can equate the two results you obtained for \overline{QR}. Then considering the coefficients of \underline{a}~and~\underline{b} you can find k and n.

    Hope this will help you.
    Last edited by Sudharaka; April 14th 2010 at 08:29 AM.
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  3. #3
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    I thought that might be wrong earlier. I still don't know how to find n and k.
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  4. #4
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    Quote Originally Posted by Stuck Man View Post
    I thought that might be wrong earlier. I still don't know how to find n and k.
    Dear Stuck Man,

    \overline{QR}=\frac{n}{10}(5\underline{b}-3\underline{a})=\frac{1}{2}(1+2k)\underline{b}-\frac{1}{2}\underline{a}

    Now, you can equate the coefficients of \underline{a}~and~\underline{b}.
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  5. #5
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    I have done it now. My mistake earlier did not help. I originally made an equation from the two expressions fo r the vector QR. Thanks.
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