JEE Main & Advanced Physics Vectors Question Bank Fundamentals of Vectors

  • question_answer
    If a unit vector is represented by \[0.5\hat{i}+0.8\hat{j}+c\hat{k}\], then the value of ?c? is           [CBSE PMT 1999; EAMCET 1994]

    A)            1    

    B)            \[\sqrt{0.11}\]

    C)            \[\sqrt{0.01}\]                     

    D)            \[\sqrt{0.39}\]

    Correct Answer: B

    Solution :

                 Magnitude of unit vector = 1                    Þ \[\sqrt{{{(0.5)}^{2}}+{{(0.8)}^{2}}+{{c}^{2}}}=1\]                    By solving we get \[c=\sqrt{0.11}\]

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