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JEE Main & Advanced Physics Vectors Question Bank Topic Test - Vectors

  • question_answer
    Component of the vector \[\vec{A}=\,2\hat{i}+3\hat{j}\] along the vector \[\vec{B}\,=(\hat{i}+\,\hat{j})\,\] is

    A) \[\frac{5}{\sqrt{2}}\]     

    B) \[4\sqrt{2}\]

    C) \[\frac{\sqrt{2}}{3}\]     

    D) None of these

    Correct Answer: A

    Solution :

    [a] Component of \[\vec{A}\] along \[\vec{B}\,\,=\,A\,\cos \,\theta =\,\frac{\vec{A}.\vec{B}}{B}\] \[=\frac{2+3}{\sqrt{1+1}}\,=\frac{5}{\sqrt{2}}\]


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