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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    If the projection of\[\overset{\to }{\mathop{PQ}}\,\]on\[OX,\text{ O}V,\text{ }OZ\]are respectively 12, 3 and 4, then the magnitude of\[\overset{\to }{\mathop{PQ}}\,\]is:

    A)  169

    B)                                         19                         

    C)  13                         

    D)         144

    E)  16

    Correct Answer: C

    Solution :

    \[\because \]Projection of\[\overset{\to }{\mathop{PQ}}\,\]on OX, OY, OZ are 12,3 and 4 respectively, then\[\overset{\to }{\mathop{PQ}}\,=12\hat{i}+3\hat{j}+4\hat{k}\] \[\therefore \]  \[|\overset{\to }{\mathop{PQ}}\,|=\sqrt{{{12}^{2}}+{{3}^{2}}+{{4}^{2}}}=\sqrt{169}\] \[=13\]


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