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KVPY Sample Paper KVPY Stream-SX Model Paper-4

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

    A) 3 & 4               

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

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

    D) none of these

    Correct Answer: B

    Solution :

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


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