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JEE Main & Advanced Mathematics Vector Algebra Question Bank Modulus of vector Algebra of vectors

  • question_answer
    If position vectors of a point A is a + 2b and a divides AB in the ratio \[2:3\], then the position vector of B is                                                                                                                         [MP PET 2002]

    A) 2a ? b    

    B) b ? 2a

    C) a ? 3b    

    D) b

    Correct Answer: C

    Solution :

    If x be the position vector of B, then a divides AB in the ratio 2 : 3.                                 \[a=\frac{2x+3(a+2b)}{2+3}\] Þ \[5\,a-3\,a-6b=2\,x\,\,\,\Rightarrow \,\,x=a-3\,b.\]


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