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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2012

  • question_answer
        The value of P so that the vectors\[2i-j+k,\] \[i+2j-3k\]and\[3i+pj+5k\]are coplanar should be

    A)  16                                         

    B)  \[-4\]

    C)  4                                            

    D)  \[-8\]

    Correct Answer: B

    Solution :

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


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