# Parallel or Perpendicular Planes

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.

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:44 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/parallel-perpendicular-planes-8735

#### 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.

$2.19