
Describe the line of the intersection of planes.
Answer
516.3k+ views
Hint: The foot of the line is the point where a line and a plane intersect.Lines and planes are the two fundamental forms of geometry. A point is a position in a plane with no dimensions, such as width, length, or depth. The point of intersection is the intersection of two or more lines.
Complete step by step answer:
A line is made up of points that extend in opposite directions indefinitely. It only has one dimension, which is length. Collinear points are points that are located on the same graph. A point is a position in a plane with no dimensions, such as width, length, or depth.
In a three-dimensional space, two planes can be connected in the following ways.
-They may be in parallel with one another.
-They don't have to be alike.
-They have the potential to collide.
The intersection of a line and a plane in a two-dimensional space is the line itself. The intersection will then be a single point. When the plane's normal is perpendicular to the line, the two will never intersect, unless the line is parallel to the ground.
The intersection in this case is (obviously) a line. In either case they will converge at exactly one point if the plane's normal is not perpendicular to the axis. The intersection of a line and a plane in three-dimensional space may be the empty set, a point, or a line in analytic geometry. If the line is embedded in the plane, it is the entire set; if the line is parallel to the plane but outside of it, it is the empty set.
Note: A surface can be interpreted as a series of planes in the ray tracing system of computer graphics. A picture of the surface is created by intersecting a ray of light with each plane. Depth values are usually determined by the so-called triangulation process, which finds the intersection between the light plane and the ray reflected toward the camera in vision-based 3D reconstruction, a subfield of computer vision.
Complete step by step answer:
A line is made up of points that extend in opposite directions indefinitely. It only has one dimension, which is length. Collinear points are points that are located on the same graph. A point is a position in a plane with no dimensions, such as width, length, or depth.
In a three-dimensional space, two planes can be connected in the following ways.
-They may be in parallel with one another.
-They don't have to be alike.
-They have the potential to collide.
The intersection of a line and a plane in a two-dimensional space is the line itself. The intersection will then be a single point. When the plane's normal is perpendicular to the line, the two will never intersect, unless the line is parallel to the ground.
The intersection in this case is (obviously) a line. In either case they will converge at exactly one point if the plane's normal is not perpendicular to the axis. The intersection of a line and a plane in three-dimensional space may be the empty set, a point, or a line in analytic geometry. If the line is embedded in the plane, it is the entire set; if the line is parallel to the plane but outside of it, it is the empty set.
Note: A surface can be interpreted as a series of planes in the ray tracing system of computer graphics. A picture of the surface is created by intersecting a ray of light with each plane. Depth values are usually determined by the so-called triangulation process, which finds the intersection between the light plane and the ray reflected toward the camera in vision-based 3D reconstruction, a subfield of computer vision.
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