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Finding out a equation of a plane that is parallel to a plane

  1. Apr 28, 2012 #1
    Hi all,

    What is the formula of an equation of a plane that is parallel to the plane.

    For example the plane is x - 3y -2z -4 = 0 going through a point(1 , 1, 1).

    Thanks,
    Stephen
     
  2. jcsd
  3. Apr 28, 2012 #2

    HallsofIvy

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    The equation of a plane perpendicular to vector <A, B, C>, passing through point [itex](x_0, y_0, z_0)[/itex] is [itex]A(x- x_0)+ B(y- y_0)+ C(z- z_0)= 0[/itex] or, equivalently, [itex]Ax+ By+ Cz- (Ax_0+ By_0+ Cz_0)= 0[/itex].

    If two planes are parallel they are perpendicular to the same vectors.

    Write a vector is x- 3y- 2x- 4= 0 perpendicular to? What is the equation of the plane perpendicular to that vector containing (1, 1, 1)?
     
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