Question

1. Can two lines that are oblique to each other be parallel? Can they intersect each other?

2.Can two lines that are oblique to a plane be parallel? Can they intersect each other?
3. Can a line be perpendicular to exactly one line of a plane?
4.Can two lines that are oblique to each other be perpendicular to each other?
5. Can two lines that are oblique to a plane be perpendicular to each other?
6. How many vertical lines are there? How many horizontal lines does each vertical line have?
7. Can two skew lines intersect? Be perpendicular? Be vertical? Be horizontal?
8. Is ever vertical line also horizontal? Is every horizontal line also vertical?
9. Can two vertical lines be perpendicular to each other? Can two horizontal lines be perpendicular to each other.
10. If two planes are parallel to the same line, are they parallel?
11. If a line intersects one of two parallel planes, will it intersect the other?
12. If two planes are parallel to a third plane, are they parallel to each other?
13. Do two lines each parallel to a plane determine a plane parallel to the given plane?
14. How many concurrent lines may be parallel to a line? To a plane?

Answer 1

1. Oblique lines can't be parallel. Yes they will intersect each other and some point.
2. The two lines may or may not be parallel. If the lines are parallel they won't intersect.
3. Yes
4. No
5. No
6. ...
7. No
8. No
9. No
10. Yes
11. Yes
12. Yes
13. Yes
14. infinite