Only one plane can contain three specific points.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
Exactly one.
In geometry, a single point, such as Point A, is included in an infinite number of different planes. Any three non-collinear points define a unique plane, and since a point can be part of many combinations with other points, there are countless planes that can be formed through Point A. Therefore, the answer is that Point A is included in infinitely many planes.
Anything that contains the line must contain every point on the line, so "a point on the line" doesn't give us any more information. You're just asking how many planes can contain the line. Now imagine setting a wood panel down on a tight-rope. How many different ways can it set there before it falls off ? A lot, right ? An infinite number of planes can all contain your line. (And all of its points.)
A maximum of one plane can contain all three points, provided that the points are not collinear. If the three points are collinear, they lie on a single straight line, and technically, an infinite number of planes can be drawn to contain that line. However, in general, if the three points are distinct and non-collinear, they define a unique plane.
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
exactly 1
7Type your answer here...
One.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
Exactly one.
1
1
In geometry, a single point, such as Point A, is included in an infinite number of different planes. Any three non-collinear points define a unique plane, and since a point can be part of many combinations with other points, there are countless planes that can be formed through Point A. Therefore, the answer is that Point A is included in infinitely many planes.
Anything that contains the line must contain every point on the line, so "a point on the line" doesn't give us any more information. You're just asking how many planes can contain the line. Now imagine setting a wood panel down on a tight-rope. How many different ways can it set there before it falls off ? A lot, right ? An infinite number of planes can all contain your line. (And all of its points.)
There is only one such plane.
There will always be a single plane through all three points.