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How many planes will contain 2 points?
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
How many planes contain a given line in space?
Given a line, there are an infinite number of different planes that it lies in.
How many planes will contain three non-collinear points?
Exactly one.
How many planes can contain three point at the same time?
Only one plane can contain three specific points.
Why do three points sometimes contained in more than one plane?
Three points can lie in more than one plane if they are not collinear. If the three points are non-collinear, they define a unique plane, but if they are collinear, they can lie on infinitely many planes that contain that line. Additionally, if you consider different orientations or positions of planes that intersect the line formed by the collinear points, these also contribute to the existence of multiple planes. Therefore, the arrangement and relationship of the points determine how many planes can contain them.
How many planes will contain 2 points?
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
How many planes contain the same three collinear points?
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
How many planes contain a given line in space?
Given a line, there are an infinite number of different planes that it lies in.
How many planes will contain three non colliear points?
One.
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.
How many planes will contain three non-collinear points?
Exactly one.
How many planes will contain 3 noncollinear points?
1, exactly 1 plane will
How many planes can contain three point at the same time?
Only one plane can contain three specific points.
Given a line and a point not on that line how many different planes contain both of them?
1
Given a line and a point on that line how many different planes contain both of them?
1
How many planes can possibly contain the three non collinear points?
There will always be a single plane through all three points.
Given two parallel lines How many unique planes contain both lines?
none
