CorrectParallel lines as well as intersecting lines must be coplanar (in Euclidean geometry not quite sure about hyperbolic geometry...).Lines in space which neither are coplanar nor intersecting are called "skew"
The locus in a plane is two more intersecting lines, perpendicular to each other (and of course half-way between the given lines.
draw two intersecting lines that are not perpendicular
Intersecting lines are two lines that cross in a coordinate plane. So, yes, intersecting lines cross.
Two lines are intersecting if they have exactly one point in common.
parallel
When two line segments intersect, an angle is created. The degree of the angle depends on the positions of the two intersecting lines. The wider the space between the two intersecting lines, the larger number of degrees the angle encompasses.
perpendicular crosses at a right angle, while intersecting lines don't
Intersecting lines may or may not be perpendicular. If the angle of intersection between two intersecting lines is 90 degrees, then the two lines are perpendicular. Otherwise, the lines are not perpendicular. For example: A | | | B ----|----- | | Here, the lines A and B are intersecting. The angle between A and B is 90 degrees. Therefore, line A and line B are perpendicular to each other.
Vertex
Two lines in two intersecting planes can be parallel, intersecting, or skew.
CorrectParallel lines as well as intersecting lines must be coplanar (in Euclidean geometry not quite sure about hyperbolic geometry...).Lines in space which neither are coplanar nor intersecting are called "skew"
The locus in a plane is two more intersecting lines, perpendicular to each other (and of course half-way between the given lines.
Yes
draw two intersecting lines that are not perpendicular
Intersecting lines are two lines that cross in a coordinate plane. So, yes, intersecting lines cross.
Yes, they can be two existing lines (not intersecting) and it can be parallel.