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

  • question_answer
    The position vectors of A and B are \[\mathbf{i}-\mathbf{j}+2\mathbf{k}\] and \[3\mathbf{i}-\mathbf{j}+3\mathbf{k}.\] The position vector of the middle point of the line AB is                                                                                                        [MP PET 1988]

    A) \[\frac{1}{2}\mathbf{i}-\frac{1}{2}\mathbf{j}+\mathbf{k}\]       

    B) \[2\mathbf{i}-\mathbf{j}+\frac{5}{2}\mathbf{k}\]

    C) \[\frac{3}{2}\mathbf{i}-\frac{1}{2}\mathbf{j}+\frac{3}{2}\mathbf{k}\]    

    D) None of these

    Correct Answer: B

    Solution :

    \[\frac{\mathbf{a}+\mathbf{b}}{2}=2\mathbf{i}-\mathbf{j}+\frac{5}{2}\mathbf{k}.\]


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