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Math Help - distance from POINT to PLANE

  1. #1
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    Exclamation distance from POINT to PLANE

    Another one....

    Point (P): (2,3,-1)
    Plane: 2x + y - 2z + 9 = 0

    1. Determine equation of line L, perpindicular to the plane and passing through point P.

    2. Determine Point A (where L and plane intersect).

    3. Distance from A to P (Point)

    4. Also- How would you find the distance from the point using a VECTOR PROJECTION.

    5. Knowing that- Find the distance from Point P (-4, 7, -3) to the plane which is 3x + 2y - 5z + 11 = 0.

    P.s.- Plato similar type of question but a little different thus giving me some issues.

    Thanks a lot!
    Joey Colorado.
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  2. #2
    Junior Member autumn's Avatar
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    The vector perpendicular to the plane is <2,1,-2>.

    So the line is x=2t+2, y=t+3, z=-2t-1.

    You can insert those values of (x,y,z) into the plane, obtaining t, which will give you the point in (b).
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