Q: Which of these is determined by three points that are not on the same line?

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A set of three points not on the same line are points that define a unique plane.more than three points not on a plane are in a space (volume).

Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.

Collinear points are points that lie on the same line. Noncollinear points do not lie on the same line. Any two points are always collinear, i.e. forming a line. Three or more points can be collinear along a single line.Collinear points lies on the same straight line.

Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.

plane

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A plane.

one

Three lines are determined by three points unless the points are all on the same line ( i.e. co-linear)

A set of three points not on the same line are points that define a unique plane.more than three points not on a plane are in a space (volume).

Points on the same line are called collinear points.

Three or more points that lie on the same straight line are called Collinear.

You have to have three or more points to have non-colinear points because any two points determine a line. Noncolinear are NOT on the same line.

if there are three or more points not all of which lie on the same line then they are known as non linear pointsif there are specifically three points not all of which lie on the same line then they are known as coplanar points as they will always lie on one plane

Not enough information. Collinear means the points are on the same line. If you have any three points, they may, or may not, be on the same line.

A plane is named by three points in the plane that is not on the same line.

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.

Collinear