Lines and Planes in Space
Rendering Settings
Determination of a Plane
Section titled “Determination of a Plane”A plane is determined when it satisfies any of the following conditions:
- Three points not on the same line
- A line and a point not on that line
- Two intersecting lines
Three points not on the same line
Section titled “Three points not on the same line”A line and a point not on that line
Section titled “A line and a point not on that line”Two intersecting lines
Section titled “Two intersecting lines”Positional Relationship Between Two Lines
Section titled “Positional Relationship Between Two Lines”Intersecting
Section titled “Intersecting”Parallel (Not Intersecting)
Section titled “Parallel (Not Intersecting)”Skew Position (Neither Intersecting nor Parallel)
Section titled “Skew Position (Neither Intersecting nor Parallel)”A line perpendicular to a plane
Section titled “A line perpendicular to a plane”To assert that a line is perpendicular to a plane, it is sufficient to show that it is perpendicular to two intersecting lines on that plane. Once this condition is met, the line is defined as being perpendicular to the entire plane, and as a result, the angle it forms with every line existing on the plane will be 90 degrees.