Sometimes.
No. Skew lines must be in different planes. Skew lines have no common points (they never cross).
skew lines are noncoplanar lines, which means they aren't parallel and they also don't intersect skew lines do not intersect and are not coplanar
No. If they are parallel, then a plane exists which both lines lie in. Skew lines can not be on the same plane.
The path of an airplane flying north as it crosses an east-bound highway.
If the rungs on your ladder are not parallel, then your ladderis not safe to climb and should be replaced.
given a room with 4 walls Line 1: The line that is the intersection of the floor and the west wall Line 2: The line that is the intersection of the ceiling and the north wall Lines 1 & 2 are skew. they never touch yet they are not in the same plane.
In plane geometry, two straight lines are either parallel (including coincident) or they meet at a point. In three dimensions, however, there is another option: the lines could be skew. These are lines that are not parallel but which do not intersect either. One way to visualise this is to place yourself in a cuboid room facing one wall. Consider the vertical line where the wall in front of you meets the wall to your left. And then consider the line where the floor meets the wall to your right. These two lines are not parallel but they will never meet. These are skew lines.
Not necessarily. Two skew lines will not lie in the same plane. For example, consider you are standing in a cuboid room facing a wall. Then think of line 1 = the line where the floor and opposite wall meet. Line 2 = the line where two other walls meet. These two lines are not in the same plane.
No. Skew lines are never coplanar. Stand in a cuboid room and consider the line where the opposite wall and the floor meet. Consider also the line where the walls behind you and to your right meet. Those two lines are not coplanar.
Line A is skew to Line B, when line A does not intersect line B and also they are not in the same plane.
Non-coplanar lines. They could be parallel or skew.For example, consider yourself facing a wall in a cuboid room. Line 1 = where the floor meets the wall in front of you, Line 2 = where the ceiling meets the wall in front of you, Line 3 = where the floor meets the wall behind you. Then Lines 1, 2 and 3 are parallel but not in the same plane.OrLine 4 = where the walls to the left and behind you meet. Lines 1 and 4 are not parallel nor in the same plane: they are skew.
Skew line segments are lines in space which never intersect.
Two lines that are perpendicular to the same [third] line can meet at the same point, be parallel to one another or be skew. If you are not sure about that, see below for examples of all three cases.The skewness between the two perpendicular lines is the angle between the projection of one of the lines on the other.In vector analysis, if the direction vectors of the two perpendicular lines are a and b, then if x is the angle between them,cos(x) = a.b/(|ab|)where a.b is the scalar or dot product of aand b and,|a| and |b| are the magnitudes (lengths) of the two vectors.x is a measure of the skewness.Example:Imagine yourself in a cuboid room facing one of the walls. The line where the floor meets the opposite wall is the reference line.First consider the line where the left wall meets the floor and where the left wall meets the wall you're facing. Both these are perpendicular to the reference line. They meet: at the bottom-left-front corner of the room.Second, consider the line where the left wall meets the floor and where the right wall meets the floor. Both these are also perpendicular to the reference line. They never meet: they are parallel.Third, consider the line where the left wall meets the floor and the diagonal on the facing wall: from the top-left-front to the bottom-right-front. Again both these are perpendicular to the reference line. They are not parallel but they never meet either: they are skew.
A line and a plane that do not intersect are always skew. Skew refers to two or more lines or planes that are not parallel and do not intersect. Since a line and a plane are different-dimensional objects, they will never intersect and will always be skew.
No. Stand in a cuboid room and consider the line joining the floor and the opposite wall. Line 1: the line joining the floor to the wall on your left. Line 2: the line the far wall to the wall to your right. Both these lines are perpendicular to the first, but they are not in the same plane.
Answer is a skew lines do not lie in the same place
No, they can intersect in line. Consider the floor of a cuboid room and one wall. They meet in a line along the floor. Consider the plane that goes from that line to the line joining the opposite wall to the ceiling - a plane which goes diagonally across the room. The floor, first wall and the diagonal plane will be three points meeting in a line.