CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    The maximum and minimum magnitudes of the resultant of two given vectors are 17 units and 7 units respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is:

    A)  14                                         

    B)  16                         

    C)         18                         

    D)         13

    E)  12

    Correct Answer: D

    Solution :

    \[P+Q=17\]                            ...(1) \[P-Q=7\]                             ...(2) \[\therefore \]     \[P=12,Q=5\] Hence, \[R=\sqrt{{{P}^{2}}+{{Q}^{2}}+2PQ\cos \theta }\]                 \[=\sqrt{{{(12)}^{2}}+{{(5)}^{2}}+0}\]     \[(\because \theta =90{}^\circ )\] =13 units


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