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CMC Medical CMC-Medical VELLORE Solved Paper-2014

  • question_answer
    The value of P so that the vector \[2\hat{i}-\hat{j}+\hat{k},\]\[\hat{i}+2\hat{j}-3\hat{k},\] 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\[\left| \,\begin{matrix}    2 & 1 & 1  \\    1 & 2 & -3  \\    3 & p & 5  \\ \end{matrix}\, \right|=0\] \[2\,(10+3p)+1\,(5+9)+1(p-6)=0\] \[7p+28=0\]      \[p=-\,4\]


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