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JEE Main & Advanced Physics Vectors Question Bank Multiplication of Vectors

  • question_answer
    The vector \[\overrightarrow{P}=a\hat{i}+a\hat{j}+3\hat{k}\] and \[\overrightarrow{Q}=a\hat{i}-2\hat{j}-\hat{k}\] are perpendicular to each other. The positive value of a is            [AFMC 2000; AIIMS 2002]

    A)                 3             

    B)                 4

    C)                 9             

    D)                 13

    Correct Answer: A

    Solution :

                        \[\bar{P}.\bar{Q}=0\]\ \[{{a}^{2}}-2a-3=0\]Þ\[a=3\]


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