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JEE Main & Advanced Mathematics Vector Algebra Question Bank Modulus of vector Algebra of vectors

  • question_answer
    sThe vectors \[\mathbf{i}+2\mathbf{j}+3\mathbf{k},\] \[\lambda \mathbf{i}+4\mathbf{j}+7\mathbf{k},\] \[-3\mathbf{i}-2\mathbf{j}-5\mathbf{k}\] are collinear, if l equals               [Kurukshetra CEE 1996]

    A) 3             

    B) 4

    C) 5             

    D) 6

    Correct Answer: A

    Solution :

    \[\left| \begin{matrix}    1 & 2 & 3  \\    \lambda  & 4 & 7  \\    -3 & -2 & -5  \\ \end{matrix} \right|\,=0\Rightarrow \lambda =3.\]


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