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    Orthogonal planes

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    Given two planes with equations x + 2y + z = 1 and x - 2y + 3z = 3,
    (a) Show that the planes are orthogonal.
    (b) Find the plane that is orthogonal to the given ones and passes through the point
    (1;-1; 2).

    © BrainMass Inc. brainmass.com December 24, 2021, 7:46 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/orthogonal-planes-218206

    Solution Preview

    a vector normal to the first plane is (1, 2, 1) and a vector normal to the second is (1, -2, 3);
    the dot product of these two normals is 1 - 4 + 3 = 0; hence, the planes ...

    Solution Summary

    This provides an example of working with orthogonal planes.

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