JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Line

  • question_answer
    If \[A,B,C,D\]are the points (2, 3, ?1),(3, 5, ?3), (1, 2, 3),       (3, 5, 7) respectively, then the angle between AB and CD is                                                                                    [Orissa JEE 2003]

    A)                                                               \[\frac{\pi }{2}\]

    B)                                                               \[\frac{\pi }{3}\]

    C)                                                               \[\frac{\pi }{4}\]

    D)                                                               \[\frac{\pi }{6}\]

    Correct Answer: A

    Solution :

                    D.r?s of AB º \[(1,\,2,\,-2)\], D.r?s of \[CD\equiv (2,\,3,\,4)\]                                                                       \ \[{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}+{{c}_{1}}{{c}_{2}}=0\]; \ \[\cos \theta =0\] Þ \[\theta =\pi /2\].


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