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Math Help - [SOLVED] Clarification ... interpret the result geometrically

  1. #1
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    [SOLVED] Clarification ... interpret the result geometrically

    Yet again, another problem arises.

    Im given the question:

    Solve the following systems and interpret the result geometrically

    I've solved the equations, although interpret geometrically means?

    Im assuming just draw a picture of the planes? (Theres three planes in the system)

    Thanks
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  2. #2
    MHF Contributor Reckoner's Avatar
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    Quote Originally Posted by TJ2988 View Post
    Solve the following systems and interpret the result geometrically

    I've solved the equations, although interpret geometrically means?
    It would be nice if you provided the full problem, but if you are dealing with a system of equations, a geometric description of the system's solution set would do for your geometric interpretation. Is the solution a single point? A line or other curve? A plane or surface? Describe it.
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  3. #3
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    The problem is

    x - y - 2z - 3 = 0
    2x - 3y - 3z + 15 = 0
    x - 2y - z + 10 = 0

    the three planes are coplanar and the intersecting lines are disjoint.

    if it helps:
    x=48
    y=29
    z=8
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  4. #4
    MHF Contributor Reckoner's Avatar
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    Quote Originally Posted by TJ2988 View Post
    x - y - 2z - 3 = 0
    2x - 3y - 3z + 15 = 0
    x - 2y - z + 10 = 0

    the three planes are coplanar
    No, they are all distinct planes.

    and the intersecting lines are disjoint.
    Yes, and this means that there are no solutions. Geometrically, you have three intersecting planes with no points in common to all three.

    if it helps:
    x=48
    y=29
    z=8
    Is this supposed to be a solution? It does not satisfy the third equation. There are no solutions.
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  5. #5
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    Okay, thanks Reckoner.
    Clarified my problem, and thanks for pointing out the mistakes
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