JEE Main & Advanced Physics Vectors Question Bank Fundamentals of Vectors

  • question_answer The unit vector along \[\hat{i}+\hat{j}\] is                             

    A)             \[\hat{k}\]                             

    B)             \[\hat{i}+\hat{j}\]

    C)             \[\frac{\hat{i}+\hat{j}}{\sqrt{2}}\]                                               

    D)             \[\frac{\hat{i}+\hat{j}}{2}\]

    Correct Answer: C

    Solution :

        \[\hat{R}\]\[=\frac{{\vec{R}}}{|R|}=\frac{\hat{i}+\hat{j}}{\sqrt{{{1}^{2}}+{{1}^{2}}}}=\frac{1}{\sqrt{2}}\hat{i}+\frac{1}{\sqrt{2}}\hat{j}\]

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