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Thread: straight

  1. June 29th 2008, 07:23 AM #1
    Apprentice123
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    straight

    At what point the straight that passes by A(2,3,4) and B(1,0,-2) intercepts the xy plane?


    Answer:
    (\frac{4}{3},1,0)
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  2. June 29th 2008, 07:33 AM #2
    galactus
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    The parametric line equations are:

    x=1+t, \;\ y=3t, \;\ z=-2+6t

    In order to intersect the xy plane, then z must = 0.

    So, from z:

    -2+6t=0, \;\ t=1/3

    Insert this into x and y and we get:

    x=4/3, \;\ y=1, \;\ z=0
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