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JEE Main & Advanced Mathematics Vector Algebra Question Bank Modulus of vector Algebra of vectors

  • question_answer
    \[3\,\,\overrightarrow{OD}+\overrightarrow{DA}+\overrightarrow{DB}+\overrightarrow{DC}=\]                                                                                                       [IIT 1988]

    A) \[\overrightarrow{OA}+\overrightarrow{OB}-\overrightarrow{OC}\]          

    B) \[\overrightarrow{OA}+\overrightarrow{OB}-\overrightarrow{BD}\]

    C) \[\overrightarrow{OA}+\overrightarrow{OB}+\overrightarrow{OC}\]

    D) None of these

    Correct Answer: C

    Solution :

    \[3\overrightarrow{OD}+\overrightarrow{DA}+\overrightarrow{DB}+\overrightarrow{DC}\] \[=\overrightarrow{OD}+\overrightarrow{DA}+\overrightarrow{OD}+\overrightarrow{DB}+\overrightarrow{OD}+\overrightarrow{DC}\]\[=\overrightarrow{OA}+\overrightarrow{OB}+\overrightarrow{OC}.\]               


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