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Q: What is A line and a point not on the line lie in exactly one plane?

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Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.

No, it does not.

A point is a coordinate on an axis. A line is the connection between two points. A plane is the object of perspective that points and lines lie on.

No they can be Collinear - Points that lie on the same line.

non-coplanar points are points that does not lie on the same plane... by:GRAETIA VILLANUEVA...

Related questions

True.

Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.

No, it does not.

Yes.

they lie in the same plane

A point is a coordinate on an axis. A line is the connection between two points. A plane is the object of perspective that points and lines lie on.

A straight line MUST lie in a plane. A curved line may or may not.

If you mean the point of (-1, 6) then it lies in the 2nd quadrant on the Cartesian plane

Hyperbolic geometry is a beautiful example of non-Euclidean geometry. One feature of Euclidean geometry is the parallel postulate. This says that give a line and a point not on that line, there is exactly one line going through the point which is parallel to the line. (That is to say, that does NOT intersect the line) This does not hold in the hyperbolic plane where we can have many lines through a point parallel to a line. But then we must wonder, what do lines look like in the hyperbolic plane? Lines in the hyperbolic plane will either appear as lines perpendicular to the edge of the half-plane or as circles whose centers lie on the edge of the half-plane

No. A line can lie in many planes. A plane can be defined by three non-linear points. Since a line is defined by only two points, we need another point. (Note that point C alone, or line AB alone belong to an infinite number of planes.)

the same line

No they can be Collinear - Points that lie on the same line.

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