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The distance between the parallel planes ax + by + cz + d1 = 0 and ax +...

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Question

Basic Math

The distance between the parallel planes

ax + by +cz + d1 = 0 andax + by + cz+ d2 = 0

is

D =

|d1 − d2|
a2 + b2 +c2

.

Find equations of the planes that are parallel to the plane

x + 2y −2z = 1

and three units away from it. (Enter your answers as acomma-separated list of equations.)

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