RAJASTHAN ­ PET Rajasthan PET Solved Paper-2012

  • question_answer
    The area of the triangle having vertices as \[i-2j+3k,-2i+3j-k,4i-7j+7k\]is

    A)  36 sq units   

    B)  0 sq unit

    C)  39 sq units   

    D)  11 sq units

    Correct Answer: B

    Solution :

    Let \[OA=i-2j+3k,OB=-2i+3j-k\] and      \[OC=4i-7j+7k\] \[\therefore \] \[AB=-2i+3j-k-i+2j-3k\] \[=-3i+5j-4k\] and       \[AC=4i-7j+7k-i+2j-3k\] \[=3i-5j+4k\] \[\therefore \] \[AB=-AC\] \[\Rightarrow \] Three points A, B and C are collinear. \[\Rightarrow \] Area of \[\Delta ABC=0\]


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