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JEE Main & Advanced Mathematics Vector Algebra Question Bank Scaler or Dot product of two vectors and its application

  • question_answer
    The vector \[2\,\mathbf{i}+\mathbf{j}-\mathbf{k}\] is perpendicular to \[\mathbf{i}-4\mathbf{j}+\lambda \mathbf{k},\] if \[\lambda =\]              [MNR 1983; MP PET 1988]

    A)             0

    B)             ? 1

    C)             ? 2

    D)             ? 3

    Correct Answer: C

    Solution :

                    \[\mathbf{a}.\mathbf{b}=(2-4-\lambda )=0\Rightarrow \lambda =-2.\]


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