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Uttarakhand PMT Uttarakhand PMT Solved Paper-2008

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

    A)  16             

    B)  \[-4\]

    C)  4              

    D)  \[-8\]

    Correct Answer: B

    Solution :

     For coplanarity \[\left| \begin{matrix}    2 & -1 & 1  \\    1 & 2 & -3  \\    3 & P & 5  \\ \end{matrix} \right|=0\] \[2(10+3P)+1(5+9)+1(P-6)=0\] \[20+6P4-5+9+P-6=0\] \[7P+34-6=0\] \[7P+28=0\] \[7P=-28\] \[P=-\frac{28}{7}=-4\]


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