JEE Main & Advanced Physics Vectors Question Bank Fundamentals of Vectors

  • question_answer A vector is represented by \[3\,\hat{i}+\hat{j}+2\,\hat{k}\]. Its length in  XY  plane is                                      [EAMCET (Engg.) 1994]

    A)             2     

    B)             \[\sqrt{14}\]

    C)                     \[\sqrt{10}\]                  

    D)             \[\sqrt{5}\]

    Correct Answer: C

    Solution :

                    \[\vec{R}=3\hat{i}+\hat{j}+2\hat{k}\]             \ Length in XY plane = \[\sqrt{R_{x}^{2}+R_{y}^{2}}=\sqrt{{{3}^{2}}+{{1}^{2}}}\]\[=\sqrt{10}\]


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