## 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 : ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ α = 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

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