Results 1 to 4 of 4

Thread: point where Plane P intersects

  1. #1
    Junior Member
    Joined
    Feb 2009
    Posts
    40

    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; Feb 10th 2009 at 07:50 AM. Reason: it was 2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,776
    Thanks
    2823
    Awards
    1
    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 $\displaystyle 2(x-4)+3(y-1)+(z-7)=0$.
    Substitute the parametric forms for x, y, & z. Then solve for t.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,854
    Thanks
    138
    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 $\displaystyle C(9, 0, 0)$
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Feb 2009
    Posts
    40
    oops sorry, it was z=2+t
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: Feb 24th 2011, 02:57 PM
  2. Replies: 1
    Last Post: Oct 6th 2010, 05:48 AM
  3. Replies: 2
    Last Post: Feb 14th 2010, 11:18 AM
  4. Replies: 1
    Last Post: Oct 2nd 2009, 07:44 PM
  5. Replies: 1
    Last Post: Dec 6th 2008, 11:07 AM

Search Tags


/mathhelpforum @mathhelpforum