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

  • question_answer
    The position vector of a point C with respect to B is \[\mathbf{i}+\mathbf{j}\] and that of B with respect to A is \[\mathbf{i}-\mathbf{j}.\] The position vector of C with respect to A is                                                                                      [MP PET 1989]

    A) 2 i          

    B) 2 j

    C) 2 j          

    D) 2 i

    Correct Answer: A

    Solution :

    Since position vector of a point \[C\] with respect to \[B\] is                    \[\overrightarrow{BC}=\mathbf{i}+\mathbf{j}\]                            ?..(i) Similarly, \[\overrightarrow{AB}=\mathbf{i}-\mathbf{j}\]                             ?..(ii) Now by (i) and (ii), \[\overrightarrow{AC}=\overrightarrow{AB}+\overrightarrow{BC}=2\mathbf{i}.\]


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