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

  • question_answer
    If \[\mathbf{a}=3\mathbf{i}-2\mathbf{j}+\mathbf{k},\,\,\mathbf{b}=2\mathbf{i}-4\mathbf{j}-3\mathbf{k}\] and \[\mathbf{c}=-\mathbf{i}+2\mathbf{j}+2\mathbf{k},\] then \[\mathbf{a}+\mathbf{b}+\mathbf{c}\] is                        [MP PET 2001]

    A) \[3\mathbf{i}-4\mathbf{j}\]

    B) \[3\mathbf{i}+4\mathbf{j}\]

    C) \[4\mathbf{i}-4\mathbf{j}\]

    D) \[4\mathbf{i}+4\mathbf{j}\]

    Correct Answer: C

    Solution :

    \[\mathbf{a}+\mathbf{b}+\mathbf{c}=(3+2-1)\mathbf{i}+(-2-4+2)\mathbf{j}+(1-3+2)\mathbf{k}\]                    \[=4\mathbf{i}-4\mathbf{j}\].


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