# Vector Problems : Plane Angle and Line of Intersection

Please see the attached file for the fully formatted problems.

The plane Π 1 has equation x + 2y - z = 5 and the plane Π 2 has the equation 3x + y + 2z = 10.

(a) Find the angle between the planes.

(b) Find the equation of the line of intersection of the planes.

https://brainmass.com/math/graphs-and-functions/vector-problems-plane-angle-line-intersection-13022

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

Theorem 1: Suppose we have two planes with equations:

,

Then the angle between the two planes is

...

#### Solution Summary

Plane angle and line of intersection are found. The solution is detailed and well presented.

$2.19