## Line throught two Points

Two points determine a straight line. Its equation is formed and its
position to the co-ordinate planes is analysed.

### Example:

`Line through A(1|1|1), B(2|5|6)
Parametric representation
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
-> ⎧ 1 ⎫ ⎧ 1 ⎫
x = ⎪ 1 ⎪ + t·⎪ 4 ⎪
⎩ 1 ⎭ ⎩ 5 ⎭
Distance from origin
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
d = 0,78679579
Position to the xy plane
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Orthogonal projection: 4·x - y = 3
Point of intersection: S1(0,8|0,2|0)
Angle of intersection: 50,490288°
Position to the yz plane
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Orthogonal projection: 5·y - 4·z = 1
Point of intersection: S2(0|-3|-4)
Angle of intersection: 8,8763951°
Position to the xz plane
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Orthogonal projection: 5·x - z = 4
Point of intersection: S3(0,75|0|-0,25)
Angle of intersection: 38,112927°`