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Is a line joining two points not necessarily in the plane containing the two points?
Wiki User
∙ 11y ago
If it is a straight line it must be in the same plane. Otherwise not necessarily.
Wiki User
∙ 11y ago
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How many planes can pass through two given points?
There are an infinite number of planes that pass through a pair of points. Select any plane that passes through both the points and then rotate it along the line joining the two points.
What is a plane in geometry?
A plane is a flat, closed figure.a flat surface on which a straight line joining any two points on it would wholly lie:
Is a curved line longer than a straight loni?
Not sure what a loni is. On a plane surface, a curved line between any two fixed points is longer than the straight line joining the same points.
How many points make a plane?
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
Define coplanar points?
Coplanar means "on the same plane". A plane can be a figure or shape like a rectangle. Coplanar points means points that belong on the same plane.
Does a plane containing 2 points of a line contains the entire line?
Yes, a plane containing 2 points of a line contains the entire line. Let us consider two points on a plane and then draw a line segment joining those two points. Since the points lie on the plane so line segment has to lie completely on that plane too. Now if we extend the line segment indefinitely in both directions we get a line and that line also has to lie on the same plane since some definite part(line segment) of it(line) also lies on the same plane.
If three points are coplanar then are they collinear?
Not necessarily. Coplanar means that points lie on the same plane whereas collinear means that points lie on the same line. Points on a plane do not necessarily lie along the same line.
Does a plane containing two points of a line contains the entire line?
yes
What is in a plane?
A plane is a flat, closed figure.a flat surface on which a straight line joining any two points on it would wholly lie:
What is the greatest number of planes that can pass through three collinear points?
The points are collinear, and there is an infinite number of planes that contain a given line. A plane containing the line can be rotated about the line by any number of degrees to form an unlimited number of other planes.If, on the other hand, the points are not collinear, then the plane has no wriggle room: it is stuck fast in one place - there can be only one plane containing all the points. Provided they are non-colinear, three points will define a plane.
What is projection of line?
The line joining the feet of the perpendiculars drawn from all the points of the line onto a preselected plane.
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.
Given any three points is there exactly one plane containing them?
Through any three points NOT on the same straight line. If they are all on the same line then that line can act as an axis of rotation for an infinite number of planes containing the three points.
Are three collinear points coplanar?
Yes. Three co-linear points define a line, and therefore also lie on a plane, but those three points do not necessarily define only one plane. You need three points, not co-linear, to uniquely define a plane. See Related Links below for more information.
Is it true if points are collinear they are also coplanar?
Yes, any points that are located on the same line will also be on the same plane. You can have more than one plane intersect a given line, but any points on that line will necessarily be on all the planes that intersect that line.
Does a plane containing two points of a line always never or sometimes contain the entire line?
It contains the whole line.
How many planes can pass through two given points?
There are an infinite number of planes that pass through a pair of points. Select any plane that passes through both the points and then rotate it along the line joining the two points.
