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 =

|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 a comma-separated list of equations.)

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.

milcah answered 2 years ago

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