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    Parallel planes

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    Show that the following two planes are parallel and find the minimum distance between them:

    x-2y+5z+4=0

    -2x +4y -10z +9 =0

    © BrainMass Inc. brainmass.com March 4, 2021, 7:28 pm ad1c9bdddf
    https://brainmass.com/math/algebra/lines-planes-minimums-103492

    Solution Preview

    Proof:
    We have two planes:
    x-2y+5z+4=0 (1)
    -2x+4y-10z+9=0 (2)
    We can do (1)*(-2) and get
    -2x+4y-10z-8=0
    Compared with equation (2), we know, they have no intersections.
    Because for any point ...

    Solution Summary

    This explains how to show that given planes are parallel.

    $2.49

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