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There are two possible answers; if the line is crossing the plane at an angle, then the line and the plane only intersect at one point. However, if the line is part of the plane, then the entire line intersects with the plane, and there are an infinite number of intersecting points.
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How many points are found at the intersection of a line and a plane?
Zero (if the line is parallel to the plane), one (generally), or an infinite number (if the line is within the plane).
Can a plane and a line ever intersect in two points?
In Euclidean geometry, they can only intersect in 0, 1 or infinitely many points. If there are two points of intersection then the whole line lies in the plane.
If line d intersects plane F then how many points on line d also lie on plane F?
There are one or infinitely many points.
Give a line and a point not on the line how many planes do they define?
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.
How many points does a line have?
a line has to have at least 2 points.a plane has to have at least 3 points.______________It takes two points to define a unique line in Euclidean space. But every line and every line segment contains infinitely many points. The same is true for planes in Euclidean space. You need at least 3 points to define a unique plane, but every plane containes infinitely many points and infinitely many lines or line segments.
How many points are found at the intersection of a line and a plane?
Zero (if the line is parallel to the plane), one (generally), or an infinite number (if the line is within the plane).
Can a plane and a line ever intersect in two points?
In Euclidean geometry, they can only intersect in 0, 1 or infinitely many points. If there are two points of intersection then the whole line lies in the plane.
How many plane are found in the intersection of a line and a plane?
over 900000000000
How many points of intersection to make with 3 line segments?
6
If line d intersects plane F then how many points on line d also lie on plane F?
There are one or infinitely many points.
Give a line and a point not on the line how many planes do they define?
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.
How many points does a line have?
a line has to have at least 2 points.a plane has to have at least 3 points.______________It takes two points to define a unique line in Euclidean space. But every line and every line segment contains infinitely many points. The same is true for planes in Euclidean space. You need at least 3 points to define a unique plane, but every plane containes infinitely many points and infinitely many lines or line segments.
How many points are needed to determine a unique plane?
A plane can be determined by three points, as long as the three points do not lie along a single line.
In general how many planes are there which contain any number of given points?
There are no planes containing any number of given points. Two points not the same define a line. Three points not in a line define a plane. For four or more points to lie in the same plane, three can be arbitrary but not on the same line, but the fourth (and so on) points must lie in that same plane.
What is Three points determine a plane?
If you were to have 3 points on the same line, then you would actually not be determining a plane, because there are infinitely many planes that can intersect a given line. But if you have 3 points in the form of the points (or vertices) of a triangle, then you determine a plane in the sense that there is only one possible plane upon which that triangle can be drawn (not including a degenerate triangle, which is equivalent to a line).
Does a plane contain at least three lines?
Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.
How do you sketch a set of lines that has two points of intersection?
They can be two arcs, like the outline of a crescent moon, or a contact lens. Two straight lines on a plane surface cannot have two points of intersection: there can only be 0, 1 or infinitely many.
