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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 points are you a intersection of a line and a plane?
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.
How many planes can pass through line?
-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.
If to lines intersect how many planes contain both of the line?
Two intersecting straight lines uniquely define one single plane.
How many planes intersect to form a line?
A minimum of 2, but an infinite number of planes can intersect at the same line.
What is the maximum number of times 2 planes can intersect?
In three-dimensional space, two planes can either:* not intersect at all, * intersect in a line, * or they can be the same plane; in this case, the intersection is an entire 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 points are you a intersection of a line and a plane?
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.
Can two planes intersect in infinitely many points?
yes, it may be the two plane intersect at one line or the two planes are coincident.
How many planes can pass through line?
-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.
If to lines intersect how many planes contain both of the line?
Two intersecting straight lines uniquely define one single plane.
Can a given line be in two planes?
Two planes intersect at a line. The line where they intersect pertains to both planes. In the same manner, if infinitely many planes intersect each other at the same line, then that line pertains to the infinitely many planes.
How many planes intersect to form a line?
A minimum of 2, but an infinite number of planes can intersect at the same line.
How many times does each line segment in a polygon intersect?
I want to say 2, once at each corner
How many line can intersect a point?
A point can be intersected by infinitely many lines. Two points intersect in only one line. Three points either intersect in a line or not at all. This is only considering two dimensions.
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).
Do two linear inequalities have zero or one or several or infinitely many solutions?
Inequalities are defining part of the plane So either they intersect in infinitely many point (either in a part of the plane or on a line) or they don't intersect 1 - zero solution x+y > 1 and x+y <0 2 - infinitely many solution x+y >2 and x + y > 3 (a part of the plane) x+y >=2 and x+y <= 2 (a line)
