JEE Main & Advanced Mathematics Vector Algebra Question Bank Modulus of vector Algebra of vectors

  • question_answer
    If \[\mathbf{a}=2\mathbf{i}+2\mathbf{j}-\mathbf{k}\] and \[|x\,\mathbf{a}|\,\,=1,\] then x =

    A) \[\pm \frac{1}{3}\]

    B) \[\pm \frac{1}{4}\]

    C) \[\pm \frac{1}{5}\]

    D) \[\pm \frac{1}{6}\]

    Correct Answer: A

    Solution :

    \[|x\mathbf{a}|=|x||\mathbf{a}|\Rightarrow |x|\sqrt{4+4+1}=1\]\[\Rightarrow x=\pm \frac{1}{3}.\]


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