Yes, unless specifically described as bounded.
Geometric space is three dimensional and infinitely large.
In our real world, the space is 3D. It is currently unknown whether it is infinitely large.
geometric space
Infinitely many.
A perpendicular intersection of two planes is represented by a line that is orthogonal to both planes. This line acts as the common line of intersection where the two planes meet at a right angle (90 degrees). This geometric configuration is often visualized in three-dimensional space, where the planes can be thought of as sheets extending infinitely in their respective dimensions.
Lines in Euclidean space.
A geometric surface is a mathematical representation of a two-dimensional shape that extends infinitely in two directions. It can be defined by equations or parameters in space, and is often used in geometry, computer graphics, and engineering to model objects and analyze their properties. Geometric surfaces can include simple shapes like planes and spheres, as well as more complex forms like curves and manifolds.
Geometric Space
It is a plane.
When three planes coincide, they represent a single plane in three-dimensional space. This situation occurs when the equations of the planes are dependent, meaning they can be expressed as scalar multiples of one another or as linear combinations that yield the same geometric plane. Mathematically, this leads to an infinite number of solutions, as any point on the plane satisfies all three equations simultaneously. In such cases, the system of equations is consistent and has infinitely many solutions.
Because the universe is neither infinitely large nor infinitely old. If you need more details, look up "Olbers' paradox".
Because the universe is neither infinitely large nor infinitely old. If you need more details, look up "Olbers' paradox".