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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    The direction cosines of the normal to the plane\[6x-3y-2z=1\]are:

    A)  \[\left( \frac{6}{7},3,\frac{-2}{7} \right)\]                            

    B)  \[(6,-3,-2)\]

    C)  \[\frac{1}{7}(6,-3,-2)\] 

    D)         \[\frac{1}{7}(6,3,2)\]

    E)  \[\frac{1}{7}(-6,2,3)\]

    Correct Answer: C

    Solution :

    Direction cosines of the normal to the plane are \[\frac{6}{\sqrt{36+9+4}},\frac{-3}{\sqrt{36+9+4}},\frac{-2}{\sqrt{36+9+4}}\] \[\equiv \left( \frac{6}{7},\frac{-3}{7},\frac{-2}{7} \right)\]


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