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Math Help - point where Plane P intersects

  1. #1
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    Question point where Plane P intersects

    i don't know why i am not getting this material like i should, anyway,, i am stuck here..
    A Plane P is orthogonal(perpendicular) to the line L: x=4+2t, y=-1+3t, z=2+t and passes through the point A =(4, 1,7) Find the point where the plane P intersets the x-axis.
    (Hint: Find the equation of the plane P)

    Answer: ( , , )

    also tell me how can i better understand parallel, orthogonal and skew stuff on line and plane
    Last edited by DMDil; February 10th 2009 at 07:50 AM. Reason: it was 2
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  2. #2
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    Quote Originally Posted by DMDil View Post
    i don't know why i am not getting this material like i should, anyway,, i am stuck here..
    A Plane P is orthogonal(perpendicular) to the line L: x=4+2t, y=-1+3t, z=s+t and passes through the point A =(4, 1,7) Find the point where the plane P intersets the x-axis.
    First note that the red above must be a typo.
    The direction of the line is the normal of the plane if the line is perpendicular to the plane.
    Thus the plane is 2(x-4)+3(y-1)+(z-7)=0.
    Substitute the parametric forms for x, y, & z. Then solve for t.
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  3. #3
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    Quote Originally Posted by DMDil View Post
    ... Find the point where the plane P intersets the x-axis.
    (Hint: Find the equation of the plane P)

    ...
    Take Plato's equation of the plane. Keep in mind that a point on the x-axis has the coordinates (c, 0, 0). Plug in these coordinates into the equation of the plane and solve for c.

    I've got C(9, 0, 0)
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  4. #4
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    oops sorry, it was z=2+t
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