Close

2020-03-21

What is a line that intersects two non-intersecting planes?

What is a line that intersects two non-intersecting planes?

In geometry, parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel.

What are the examples of non-intersecting lines?

Two examples of non-intersecting lines are listed below: Ruler (scale): The opposite sides of a ruler are non-intersecting lines….

  • Lines KL and MN are intersecting lines.
  • No, line CD and AB are non-intersecting, parallel lines.
  • AB || CD and EF || CD are parallel as well as non-intersecting lines.

Do two non-intersecting lines have to be parallel?

If two lines in space and not in the same plane do not intersect, they are skew. The answer is yes. Two lines can only be non-intersecting if their slopes are exactly the same (otherwise they’d have to cross at some point). So the two lines can only be parallel because they never cross and move with the same slope.

How do you determine if a line lies on a plane?

We observe that a straight line will lie in a plane if every point on the line, lie in the plane and the normal to the plane is perpendicular to the line. We observe that a straight line will lie in a plane if every point on the line, lie in the plane and the normal to the plane is perpendicular to the line.

What is the intersection of 3 planes called?

all three planes form a cluster of planes intersecting in one common line (a sheaf), all three planes form a prism, the three planes intersect in a single point.

Can a line intersect plane?

As long as the planes are not parallel, they should intersect in a line.

Can a line intersect a plane in exactly 2 points?

If you pick two points on a plane and connect them with a straight line then every point on the line will be on the plane. Given two points there is only one line passing those points. Thus if two points of a line intersect a plane then all points of the line are on the plane.