The question is "Lines 's' and 't' intersect, and line 'v' does not intersect either one." (I draw it)

That is logically impossible...

If two lines are intersecting each other, they must be at different angles. The definition of a line says that lines go on infinitely. Therefore I can't make a line that doesn't intersect the other lines, correct?

Example: ( v | ) Those three 'lines' will eventually intersect because they go on infinitely.

_______________

Same with v and ( + \ ).

Every possible explanation is invalid. So what the heck do I put on my paper?

That is logically impossible...

If two lines are intersecting each other, they must be at different angles. The definition of a line says that lines go on infinitely. Therefore I can't make a line that doesn't intersect the other lines, correct?

Example: ( v | ) Those three 'lines' will eventually intersect because they go on infinitely.

_______________

Same with v and ( + \ ).

Every possible explanation is invalid. So what the heck do I put on my paper?