In a three dimension space can be considered parallels two lines that cross each other but don´t intersect?

Answer 1

yes if their planes are mutually parallel to each other and they cross each other if we consider only the other two axes. But yes then they wont be "paralel"


Hey this a 15 - yr old answering ur questions cant u even select my answer as the best ? ? ? please please please ???

Answer 2

Consider ur key board and the table where u have put the key board. Let's assume them to be two parallel plane. Now think of the space bar and a pen on the table. Assume them to be lines.

These two lines lies on two different planes which are parallel and they cross each other (assuming they are kept that way), but these two lines never intersect.

Hope this is what you mean.

Answer 3

No. In three-dimensional Euclidean space, parallel lines not only fail to intersect, but also maintain a constant separation between points closest to each other on the two lines. Therefore, parallel lines in three-space lie in a single plane (Kern and Blank 1948, p. 9). Lines in three-space which are not parallel but do not intersect are called skew lines.

Answer 4

That is a question of Math definitions:

Two lines are parallels if they satisfy both the conditions:
a) they are in the same plane
b) they do not intersect

If the two lines are like those in your question, they are not in a same plane. So you cannot consider parallels... but as they do not intersect, they have a special name... they are reverses lines.

Answer 5

I'm guessing here.

Are you asking can two lines in 3 dimension be parallel? If so, yes. Just look at the a wall and where the ceiling and floors meet the wall. It creates two parallel lines.

However, look at two adjacent walls. The floor/wall1 line is not parallel to the ceiling/wall2 line.

Answer 6

in accordance to Euclidean geometry kind a element exterior a right this moment line there is one and in hassle-free terms one right this moment line parallel to the 1st. those 2 lines do not intersect. in accordance to Riemann geometry there is not this form of line. they're continually intersect at infinity. in accordance to the geometry of Lobachevsky there are a number of lines that aren't at all intersect. So it is an axiom, you standard or not

Answer 7

how can you think of 2 line which cross but dont intersect crossing only means intersecting and parrel lines dont intersect

Answer 8

errr parallel line cannot cross each other ... they are errr parallel