describe a real life example of 3 lines in space that do not intersect each other and no 2 lines lie in the??

Question

and no 2 lines lie in the same place its a math question.///

can the solar system like were the planets orbit be a good answer??? the only problem is that the question says 3 lines and were the planets orbit it has more than 3 lines so yea or no???????

Answer 1

I think you are asking for three lines in 3-space that do not intersect each other or lie in the same PLANE. In other words, you want three skew lines.

Line 1 = <0, 0, 0> + p<1, 0, 0>
Line 2 = <1, 1, 1> + s<0, 1, 0>
Line 3 = <2, 2, 2> + t<0, 0, 1>

Where p, s, t are constants that range over the real numbers.

Answer 2

No, they don't. They stay the same distance apart forever. Draw a horizontal line. Then draw two lines doing up-and-down. The last two lines are parallel. They are both perpendicular to the horizontal line. If the two vertical lines were to intersect, then you would have a triangle. Now, at what angle would the two lines intersect? Obviously, if two lines intersect, the angle of intersection must be positive, since, if the angle were zero degrees, they would be the same line. Now the sum of the angles inside any triangle is 180 degrees. The two parallel lines are each perpendicular to the horizontal line, so those angles are right angles. The sum of those two angles is already 180 degrees, so that doesn't leave a positive angle of intersection for the parallel lines. So they cannot intersect. I hope this helps! Edit: As some of the other posters have pointed out, this is only the case in Euclidean geometry. In other geometries, it depends upon the definition of parallel given.

Answer 3

The searchlights at the beginning of FOX movies, maybe. They only really go one way, though. Lines are supposed to extend infinitely in both directions.

Edit: As for the planets, you could just pick 3 of them. The only problem is that their orbits aren't lines in the proper sense; they trace out ellipses of sorts.

Answer 4

the number 8 on digital clocks... theres 3 lines... or the letter E.. unless u mean no 2 lines lie in the same plane, then i have no idea...