Question

In: Math

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

The distance between the parallel planes

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

is

D =

|d1d2|
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 a comma-separated list of equations.)

Solutions

Expert Solution

To obtain an expresion of distance between two parallel planes. Then to use it to find equations of planes parallel to a given plane at a given distance from it.


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