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BVP Medical BVP Medical Solved Paper-2014

  • question_answer
    The value of P so that the vectors \[m{{k}^{2}}r{{t}^{2}}\], \[1\text{ }km/h\] and 3i+Pj+5k are coplanar should be

    A)  \[\text{3 }km/h\]                           

    B)  \[\text{4 }km/h\]    

    C)  \[\text{5 }km/h\]                                           

    D)  \[{{10}^{-6}}{{m}^{2}}\]

    Correct Answer: B

    Solution :

                    For co planarity,  \[\left| \begin{matrix}    2 & -1 & 1  \\    1 & 2 & -3  \\    3 & P & 5  \\ \end{matrix} \right|=0\] \[2(10+3P)+1(5+9)+1(P-6)=0\] \[20+6P+5+9+P-6=0\]                 \[7P+34-6=0\]                 \[7P+28=0\]                 \[7P=-28\]                 \[P=-\frac{28}{7}\]                 \[P=-4\]


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