A set of all points is how various shapes are made in geometry. Lines are sets of points, and so are surfaces. Circles are sets of all points that are a fixed distance from a central point. All geometric shapes are made from sets of all points.
Space
It depends on the context in which the question is asked: whether it is basic geometry, coordinate geometry or vector algebra. If you can draw a single straight line through a set of points they are collinear; if you cannot then they are not.
what is The set of all points collinear to two points?
geometry means lines, segments, and points!!
Space is a boundless, three dimensional set of all points. Collinear is a set of points that are all on the same line and is 3 or more points.
Space
It means that a certain set of points are all on the same line.
In ordinary geometry (as opposed to affine geometry), a plane MUST consist of an infinite set of points.
A continuous curve.
In a close figure it is the set of points inside the figure.
It depends on the context in which the question is asked: whether it is basic geometry, coordinate geometry or vector algebra. If you can draw a single straight line through a set of points they are collinear; if you cannot then they are not.
Geometry my dear Watson! A line. As defined: A set of points continuing in opposite directions.
A line
Two dimensional geometry.
what is The set of all points collinear to two points?
Yes they do. In geometry, pentacles (stars) have 10 points.
The intersection of two or more mathematical objects is the set of all points that are common to all of them. In set theory, that would be the elements in common. In geometry, it would be the set of all points in common. For example, the intersection of two different planes is a line; the intersection of a plane and a cone are the conic sections: circle, ellipse, parabola and hyperbola.