parallel planes
Two planes that do not intersect.
Parallel planes are two or more planes that do not intersect, i.e., they are always separated by the same distance. In other words, planes that never meet or touch each other are called parallel planes.
For instance, if we consider two horizontal planes, they are always parallel to each other regardless of their distance. Similarly, two vertical planes or two planes at an angle to each other can be parallel if they never meet or intersect.
The distance between two parallel planes remains constant throughout, and it is called the distance between planes. The distance can be measured as the perpendicular distance between any two points on the given parallel planes.
It is essential to know that two planes are parallel only if their normal vectors are parallel to each other. The normal vector is a perpendicular vector to the plane. Thus, if the two planes have the same normal vector, they are parallel.
Finally, parallel planes play a vital role in various geometric and engineering applications, including in construction, architecture, and computer graphics.
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