## Intersection of Plane and Line

Given a plane and a line, the intersection point and the intersection angle are calculated.

The plane may be entered in parametric representation or as coordinate equation,
the line in parametric representation or by two points.

### Example 1:

`Plane E :
¯¯¯¯¯¯¯¯¯
E : x + y + z = 5
Line g :
¯¯¯¯¯¯¯¯
-> ⎧ 5 ⎫ ⎧ 0 ⎫
g : x = ⎪ 0 ⎪ + r·⎪ 1 ⎪
⎩ 0 ⎭ ⎩ 1 ⎭
Intersection point :
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
S(5|0|0)
Intersection angle :
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
alpha = 54,73561°`

### Example 2:

`Plane E :
¯¯¯¯¯¯¯¯¯
E : 2·x + 8·y − 5·z = 0
Line g :
¯¯¯¯¯¯¯¯
-> ⎧ 2 ⎫ ⎧ 1 ⎫
g : x = ⎪ 0 ⎪ + r·⎪ 1 ⎪
⎩ 3 ⎭ ⎩ 2 ⎭
E and g are parallel
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
d(g,E) = -1,1406469`

The diagram can be panned with the left mouse button
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### See also:

Graphics 3D