2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Vector Algebra

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

  • question_answer
    The position vectors of four points P, Q, R, S are \[2\mathbf{a}+4\mathbf{c},\,\] \[5\mathbf{a}+3\sqrt{3}\,\mathbf{b}+4\mathbf{c},\] \[-2\sqrt{3}\mathbf{b}+\mathbf{c}\] and \[2\mathbf{a}+\mathbf{c}\] respectively,  then                                                                                                            [MP PET 1997]

    A) \[\overrightarrow{PQ}\] is parallel to \[\overrightarrow{RS}\]

    B) \[\overrightarrow{PQ}\] is not parallel to \[\overrightarrow{RS}\]

    C) \[\overrightarrow{PQ}\] is equal to \[\overrightarrow{RS}\]

    D) \[\overrightarrow{PQ}\] is parallel and equal to \[\overrightarrow{RS}\]

    Correct Answer: A

    Solution :

    \[\overrightarrow{PQ}=3\mathbf{a}+3\sqrt{3}\mathbf{b}\] and \[\overrightarrow{RS}=2\mathbf{a}+2\sqrt{3}\mathbf{b}\] Hence \[\overrightarrow{PQ}\,||\,\overrightarrow{RS}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner