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JEE Main & Advanced Mathematics Vector Algebra Question Bank Application of vectors in three dimensional geometry

  • question_answer
    If the position vectors of two point P and Q are respectively \[9\mathbf{i}-\mathbf{j}+5\mathbf{k}\] and \[\mathbf{i}+3\mathbf{j}+5\mathbf{k}\], and the line segment PQ intersects the YOZ plane at a point R, the PR : RQ is equal to                                                                           [J & K 2005]

    A)            9 : 1

    B)            1 : 9

    C)       ?1 : 9

    D)      ? 9 : 1

    Correct Answer: D

    Solution :

                    Required ratio = \[-\left( \frac{{{x}_{1}}}{{{x}_{2}}} \right)=\frac{-9}{1}\]i.e., ? 9 : 1.         


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