JEE Main & Advanced Physics Vectors Question Bank Addition and Subtraction of Vectors

  • question_answer
    Magnitude of vector which comes on addition of two vectors, \[6\hat{i}+7\hat{j}\] and \[3\hat{i}+4\hat{j}\] is                   [BHU 2000]

    A)                 \[\sqrt{136}\]   

    B)                 \[\sqrt{13.2}\]

    C)                 \[\sqrt{202}\]   

    D)                 \[\sqrt{160}\]

    Correct Answer: C

    Solution :

                        \[\vec{R}=\vec{A}+\vec{B}\]= \[6\hat{i}+7\hat{j}+3\hat{i}+4\hat{j}\]= \[9\hat{i}+11\hat{j}\]                 \ \[|\vec{R}|\ =\ \sqrt{{{9}^{2}}+{{11}^{2}}}=\sqrt{81+121}=\sqrt{202}\]


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