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

  • question_answer
    The vector \[2\,\mathbf{i}+a\,\mathbf{j}+\mathbf{k}\] is perpendicular to the vector \[2\,\mathbf{i}-\mathbf{j}-k,\] if \[a=\]                             [MP PET 1987]

    A)             5

    B)             ? 5

    C)             ? 3

    D)             3

    Correct Answer: D

    Solution :

                    \[\mathbf{a}.\mathbf{b}=0=4-a-1\Rightarrow a=3.\]


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