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

  • question_answer
    The direction cosines of vector \[\mathbf{a}=3\mathbf{i}+4\mathbf{j}+5\mathbf{k}\] in the direction of positive axis of x, is          [MP PET 1991]

    A) \[\pm \frac{3}{\sqrt{50}}\] 

    B) \[\frac{4}{\sqrt{50}}\]

    C) \[\frac{3}{\sqrt{50}}\]         

    D) \[-\frac{4}{\sqrt{50}}\]

    Correct Answer: C

    Solution :

    \[\frac{3}{\sqrt{{{3}^{2}}+{{4}^{2}}+{{5}^{2}}}}=\frac{3}{\sqrt{50}}.\]


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