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

  • question_answer
    If the vectors \[a\,\mathbf{i}-2\mathbf{j}+3\mathbf{k}\] and \[3\mathbf{i}+6\mathbf{j}-5\mathbf{k}\] are perpendicular to each other, then a is given by [MP PET 1993]

    A)             9

    B)             16

    C)             25

    D)             36

    Correct Answer: A

    Solution :

                    Obviously, \[3a-12-15=0\Rightarrow a=9.\]


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