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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    If\[\theta \]is the angle between the planes \[2x-y+2z=3,\text{ }6x-2y+3z=5,\]then\[\cos \theta \]is equal to:

    A)  \[\frac{21}{20}\]                             

    B)         \[\frac{11}{21}\]

    C)  \[\frac{20}{21}\]                             

    D)         \[\frac{12}{23}\]

    E)  \[\frac{23}{12}\]

    Correct Answer: C

    Solution :

    \[\cos \theta =\frac{2\times 6+(-1)(-2)+(2)(3)}{\sqrt{4+1+4}\sqrt{36+4+9}}\] \[=\frac{20}{21}\]


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