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

  • question_answer
    The vectors \[5i+8j\]and\[2i+7j\]are added. The magnitude of the sum of these vector is                                             [BHU 2000]

    A)                 \[\sqrt{274}\]

    B)                 38

    C)                 238        

    D)                 560

    Correct Answer: A

    Solution :

                                        Sum of the vectors \[\overrightarrow{R}=5\hat{i}+8\hat{j}+2\hat{i}+7\hat{j}\]\[=7\hat{i}+15\hat{j}\] magnitude of \[\overrightarrow{R}=\,|\overrightarrow{R}|\,=\sqrt{49+225}\]\[=\sqrt{274}\]


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