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Math Help - Find the equation of the plane parallel to P that contains the point Q

  1. #1
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    Find the equation of the plane parallel to P that contains the point Q

    Let be the plane given by the equation
    Let be the point Find the equation of the plane parallel to that contains the point (Please ensure that the first entry is positive.)
    _____

    ^As you can see I got the 21, -21, and 16 now I just need to know what goes after the =.
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  2. #2
    MHF Contributor matheagle's Avatar
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    plug in your point (3,3,6) into the equation.........

    21x-21y+16z=d and solve for d.

    The normal vector, i.e., the coeficients of x,y,z must be the same if the planes are parallel.
    So, all you need to do is adjust the d.
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  3. #3
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    Oh ahha that was easy, thanks!
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