## Intersection of two Planes

Given two planes the program computes the line of intersection, the line's
distance from the origin and the angle of intersection between the two planes.

The planes may be entered in parametric representation or as coordinate equation

The program plots the intersection of the planes in a cube symmetric to the axes and
the line of intersection of the two planes.

### Example 1:

`Given the two planes:
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
E1 : 5·x - 2·y = 5
E2 : 2·x - y + 5·z = 8
Intersection line:
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
-> ⎧-11 ⎫ ⎧ 10 ⎫
g : x = ⎪-30 ⎪ + r·⎪ 25 ⎪
⎩ 0 ⎭ ⎩ 1 ⎭
Distance from origin:
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
d = 1,5057283
Intersection angle:
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
alpha = 65,993637°`

### Example 2: Parallel planes

`Given the two planes:
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
E1 : 2·x - y + 5·z = 12
E2 : 2·x - y + 5·z = 0
The planes are parallel
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
d(E1,E2) = 2,1908902`

The diagram can be panned with the left mouse button
and be zoomed with the right mouse button.

### See also:

Graphics 3D