## 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°