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KVPY Sample Paper KVPY Stream-SX Model Paper-21

  • question_answer
    The lengths of the diagonals of a parallelogram constructed on the vectors \[\vec{p}=2\vec{a}+\vec{b}\] & \[\vec{q}=\vec{a}-2\vec{b}\] where \[\vec{a}\] & \[\vec{b}\] are unit vectors forming an angle of \[60{}^\circ \] are:

    A) 3 & 4

    B) \[\sqrt{7}\]&\[\sqrt{13}\]

    C) \[\sqrt{5}\] &\[\sqrt{11}\]

    D) none of these

    Correct Answer: B

    Solution :

    \[|{{\vec{d}}_{1}}|\,\,=\,\,|\vec{p}+\vec{q}|\,\,;\,\,|{{\vec{d}}_{2}}|\,\,=\,\,|\vec{p}-\vec{q}|\]


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