# Parallel or Perpendicular Planes

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Question: Find if the planes are parallel, perpendicular or neither. If they are not parallel then find the equation for the line of intersection.

z = x = y , 2x - 5y -z = 1

Verify that your answer is indeed a line of intersection.

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#### Solution Preview

The equation z=x=y gives a line (being the intersection of the planes z=x and x=y; as you probably now, if we denote by t=x=y=z, this line can be described as x=t, y=t, z=t in parametric form)

The second equation describes a plane...but as the first is only a line, the problem does not make sense ...

#### Solution Summary

In about 220 words, this solution details whether certain planes are parallel or perpendicular.

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