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

  • question_answer
    If a is non zero vector of modulus a and m is a non-zero scalar, then ma is a unit vector if         [MP PET 2002]

    A) \[m=\pm 1\]          

    B) \[m=\,\,|\mathbf{a}|\]

    C) \[m=\frac{1}{|\mathbf{a}|}\]

    D) \[m=\pm \,2\]

    Correct Answer: C

    Solution :

    ma is a unit vector if and only if \[|m\,\mathbf{a}|\]Þ \[m\] \[|a|\,=1\] Þ  \[m=\frac{1}{|\mathbf{a}|}\].           


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