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JEE Main & Advanced Physics Vectors Question Bank Fundamentals of Vectors

  • question_answer
    The component of vector \[A=2\hat{i}+3\hat{j}\]along the vector \[\hat{i}+\hat{j}\]is                                   [KCET 1997]

    A)            \[\frac{5}{\sqrt{2}}\]        

    B)            \[10\sqrt{2}\]

    C)            \[5\sqrt{2}\]                         

    D)            5

    Correct Answer: A

    Solution :

      \[\frac{\overrightarrow{A}.\overrightarrow{B}}{|\vec{i}+\vec{j}|}=\frac{(2\hat{i}+3\hat{j})\,(\hat{i}+\hat{j})}{\sqrt{2}}\]\[=\frac{2+3}{\sqrt{2}}=\frac{5}{\sqrt{2}}\]


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