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J & K CET Engineering J and K - CET Engineering Solved Paper-2011

  • question_answer
    . Let a and b be the position vector of A and B respectively. The position vector of a point C on AB produced, such that \[AC=4\text{ }AB\]is equal to

    A)  \[\frac{4b-a}{3}\]

    B)  \[4b-3a\]

    C)  \[4a-3b\]

    D)  \[\frac{4a-b}{3}\]

    Correct Answer: B

    Solution :

    Given, position vector of A and B is \[OA=a,\,\,OB=b,\,\,OC=?\] Also, given \[AC=4AB\] \[\Rightarrow \] \[OC-OA=4\,(OB-OA)\] \[\Rightarrow \] \[OC-a=4\,(b-a)\] \[\Rightarrow \] \[OC=4b-3a\]


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