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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 value of \[\lambda \] for which the vectors \[2\lambda \mathbf{i}+\mathbf{j}-\mathbf{k}\] and \[2\mathbf{j}+\mathbf{k}\] are perpendicular, is                               [MP PET 1992]

    A)             None

    B)             ? 1

    C)             1

    D)             Any value

    Correct Answer: A

    Solution :

                    Since \[(2\lambda \mathbf{i}+\mathbf{j}-\mathbf{k})\,.\,(2\mathbf{j}+\mathbf{k})=1\] for every \[\lambda ,\] therefore the vectors will not be perpendicular for any \[\lambda .\]


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