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How many planes could pass through three points in the same straight line?
Infinitely many planes.
How many planes can go through 3 points?
Through any three non-collinear points, exactly one plane can be defined. If the three points are collinear (lying on a single straight line), then an infinite number of planes can be created, as any plane containing that line will also pass through those points. Thus, the relationship between the points determines the number of planes possible.
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.
True or false Through any three points not on the same line pass at least two planes?
false
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 are determined by three distinct points that are not on the same line?
one
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.
How many planes can pass through one point?
I would say that there are an infinite number of planes that can pass through a pair of skew lines. In order to find the equation of a plane, all you need is three points. take two points off of one line and one point off of the other line and you should be able to derive the equation of a plane. Since the number of points on a line is infinite, an infinite number of planes can be derived.
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.
Do a line and a point outside the line determine a plane?
Yes since 3 non-collinear points determine a plane. Of course one can take any two of the three points and draw a line between them. There are an infinite number of planes going through this line. Now pick on more point, not on the line, and those three points uniquely determine a plane.
Can two planes in three dimensional space intersect at one point?
No, the two planes intersect at a line, which is an infinite number of points.
How many planes can be drawn when three distinct points are collinear?
If the points are collinear, that means there's only one straight line. An infinite number of different planes can be drawn that contain one straight line.
