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In discrete geometry do two crossing lines intersect in a point?
Discrete lines may or may not intersect at a point they share. . . Example: . . . . . . common point in center . . . . Example: . . . . . no common point in center . . .
Are Lines that do not intersect are always skew lines?
They may also be parallel lines.
How many lines pass between two points?
If the line is straight, then only one line may connect two points.
Two parallel lines may have 0 or 1 intersection points?
False
Can two lines make a plane if they intersect at point?
Any two lines that meet must be in a plane. The plane may not necessarily be horizontal or vertical such as X-Y or X-Z or Y-Z
What are lines that are not coplanar and do not intersect?
Two lines that are not coplaner exist on two different planes. These lines do not and will not intersect by simple definition. It is however, when speaking of three or more lines, when the possibility that two or more of them may intersect.
Can two planes intersect in infinitely many points?
yes, it may be the two plane intersect at one line or the two planes are coincident.
What are two lines in two different planes that do not intersect called?
They may be either parallel or skew.
In discrete geometry do two crossing lines intersect in a point?
Discrete lines may or may not intersect at a point they share. . . Example: . . . . . . common point in center . . . . Example: . . . . . no common point in center . . .
Can a system of linear equation have more than one solutions?
No. A linear equation represents a straight line and the solution to a set of linear equations is where the lines intersect; two straight lines can only intersect at most at a single point - two straight lines may be parallel in which case they will not intersect and there will be no solution. With more than two linear equations, it may be that they do not all intersect at the same point, in which case there is no solution that satisfies all the equations together, but different solutions may exist for different subsets of the lines.
Are Lines that do not intersect are always skew lines?
They may also be parallel lines.
How many different planes may share exactly one point?
None. In conventional geometry, any intersection of two planes defines a line, which is an infinite number of points. Many planes may intersect along a single line, or any pair of planes may intersect creating a unique line, but however they intersect, the number of shared points is infinite. If the the planes do not intersect (if they are parallel), then they share zero points.
Are all Intersecting lines parallel?
Parallel lines cannot intersect in the Euclidean plane. Intersecting lines are not parallel.
What are the three types of possible solutions to a system of equations?
If the equations are linear, they may have no common solutions, one common solutions, or infinitely many solutions. Graphically, in the simplest case you have two straight lines; these can be parallel, intersect in a same point, or actually be the same line. If the equations are non-linear, they may have any amount of solutions. For example, two different intersecting ellipses may intersect in up to four points.
How many lines pass between two points?
If the line is straight, then only one line may connect two points.
Two parallel lines may have 0 or 1 intersection points?
False
Can two lines make a plane if they intersect at point?
Any two lines that meet must be in a plane. The plane may not necessarily be horizontal or vertical such as X-Y or X-Z or Y-Z
