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

  • question_answer
    If the position vectors of the points A and B are \[c=(2\,-2,\,4)\] and \[3\mathbf{i}-\mathbf{j}-3\mathbf{k},\] then what will be the position vector of the mid-point of AB                                                                                              [MP PET 1992]

    A) \[\mathbf{i}+2\mathbf{j}-\mathbf{k}\]            

    B) \[2\mathbf{i}+\mathbf{j}-2\mathbf{k}\]

    C) \[2\mathbf{i}+\mathbf{j}-\mathbf{k}\]            

    D) \[\mathbf{i}+\mathbf{j}-2\mathbf{k}\]

    Correct Answer: B

    Solution :

    \[\frac{3\mathbf{i}-\mathbf{j}-3\mathbf{k}+\mathbf{i}+3\mathbf{j}-\mathbf{k}}{2}=2\mathbf{i}+\mathbf{j}-2\mathbf{k}.\]


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