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Is a perpendicular line also intersecting line?
Yes. But it does not mean it is fully. It partly is not. It is if both lines are in the same plane. But if they are in different planes, then they won't intersect.
If two parallel lines are perpendicular to the same line do the lines intersect?
the parallel lines never intersect each other but they both intersect the line they are perpendicular to
Can two planes intersect in a ray or a segment explain why?
In 3d space, two planes will always intersect at a line...unless of course they are the same plane (they coincide). Because planes are infinite in both directions, there is no end point (as in a ray or segment). So, your answer is neither, planes intersect at a line.
Are a line and a plain are needed to define parallel lines?
Algebra: If given two equations of a line, then you can assume that they are in the same plain. If the two slopes are equal, then the lines are parallel.Geometry: If given two lines in the same plane that never intersect, then these two lines are parallel. If the lines are in different planes, but never intersect, then the lines are skew.So, both definitions use lines and a plane. The answer is yes.
Why two lines cannot be both parallel and perpendicular?
Since two parallel lines never intersect, they cannot be perpendicular to each other because perpendicular lines intersect and form angles of 90⁰.
