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Math Help - Planes in 3 dimensions

  1. #1
    Bar0n janvdl's Avatar
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    Planes in 3 dimensions

    Hello everyone Just a quick question:

    Find a scalar equation of the form ax + by + cz = d for the following plane in R^3:

    The plane that contains the line x = 3 + 2t , y = t , z = 8 - t and is parallel to the plane 2x + 4y + 8z = 17

    Thanks in advance!
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  2. #2
    MHF Contributor
    Opalg's Avatar
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    Quote Originally Posted by janvdl View Post
    Find a scalar equation of the form ax + by + cz = d for the following plane in R^3:

    The plane that contains the line x = 3 + 2t , y = t , z = 8 - t and is parallel to the plane 2x + 4y + 8z = 17
    To be parallel to 2x + 4y + 8z = 17, it must be of the form 2x + 4y + 8z = k, and if it contains the point (3,0,8) you can easily find k. (For full credit, you should then verify that it also contains the other points on that line.)
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