Straight Line in Space
Point coordinater: x, y, z, x1, y1,
z1, …
Direction cosines: cos α, cos β, cos γ
Real numbers: A, B, C, D, a, b, c, a1, a2, t, …
Distance vectors of a line:
Normal vectors to a plane:
Angle between two line: φ
Where the point P1(x1, y1, z1) line on the line, and (a, b, c) is the direction
vector of the
line.
Figure
- Two Point From
Figure
- Parametric Form
Where the point P1(x1, y1, z1) line on the straight line, cos α, cos β,
cos γ are the direction cosines of the direction vector of the ine, the
parameter is any real
number.
Figure
- Angle Between Two Straight Line
Figure
- Parallel Line
Two line are parallel if
- Perpendicular Line
Two line are parallel if
- Intersection of Two Lines
Two lines
- Parallel Line and Plane
Two straight line
Ax
+ By + Cz + D = 0 are parallel if
Or
Figure
- Perpendicular Line and Plane
Two straight line
Figure
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