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JEE Main & Advanced Physics Vectors Question Bank Topic Test - Vectors

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

    A) 3

    B) 4

    C) 9

    D) 13

    Correct Answer: A

    Solution :

    [a] \[\overrightarrow{P}.\overrightarrow{Q}=0\] \[\Rightarrow \]   \[{{a}^{2}}-2a-3=0\] \[\Rightarrow \]   \[a=3\]


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