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Math Help - Equation of a Plane Problem Help

  1. #1
    Junior Member Morphayne's Avatar
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    Exclamation Equation of a Plane Problem Help

    Problem:

    Find the equation of the plane containing the point A(5, -3, 6) that is parallel to the lines \frac {x-3}{1} = \frac {y-3}{2} = \frac {z+2}{-3} and \frac {x-8}{2} = \frac {y-9}{1}, Z=2.

    Answer: x-2y-z-5=0

    Comments:

    I haven't studied matrices, so including them will just confuse me further. This question is practice for my final exam. Please help me!
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  2. #2
    MHF Contributor

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    Find the cross product \left\langle {1,2, - 3} \right\rangle  \times \left\langle {2,1,0} \right\rangle . That is the cross product of the two directions vectors of the given lines.
    Use that answer as the normal of a plane containing the given point.
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