JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank System of Co-ordinates, Direction cosines and direction ratios, Projection

  • question_answer
    If the co-ordinates of the points  P and Q be (1, ?2, 1) and (2, 3, 4) and O be the origin, then

    A)            \[OP=OQ\]

    B)            \[OP\,\bot \,OQ\]

    C)            \[OP||OQ\]

    D)            None of these

    Correct Answer: B

    Solution :

               \[{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}+{{c}_{1}}{{c}_{2}}=0,\] so \[OP\bot \,OQ\].


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