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Math Help - Parametric Equations

  1. #1
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    Parametric Equations

    The question states:
    Determine the parametric equations of the line passing through the point P(2,1,0) and perpendicular to the plane 2x-5y=6.

    The equation to obviously use is the "point-parallel" I'm guessing. X= P +tV where P is the point and V is a vector, and X=(x,y,z). But how would I use this since there isn't a vector given for V and instead is the plane 2x-5y=6? Maybe this isn't the one I need to use. Please help
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  2. #2
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    Quote Originally Posted by ur5pointos2slo View Post
    The question states:
    Determine the parametric equations of the line passing through the point P(2,1,0) and perpendicular to the plane 2x-5y=6.

    The equation to obviously use is the "point-parallel" I'm guessing. X= P +tV where P is the point and V is a vector, and X=(x,y,z). But how would I use this since there isn't a vector given for V and instead is the plane 2x-5y=6? Maybe this isn't the one I need to use. Please help
    A normal to the given plane is the vector 2i - 5j + 0k ....
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    Quote Originally Posted by mr fantastic View Post
    A normal to the given plane is the vector 2i - 5j + 0k ....
    ok so that would give me points (2,1,0) and ( 2,-5,0) and I want to plug in to x(t) = (1- t)(2,1,0) + t(2,-5,0) and from that I can get my parametric equations?
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