1, exactly 1 plane will
Three.
3 non-collinear points define one plane.
There will always be a single plane through all three points.
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
1, exactly 1 plane will
Any Euclidean plane has infinitely many points.
Three.
1 line cause every plane contains atleast 3 or more noncollinear points
just one
3 non-collinear points define one plane.
Only one plane can pass through 3 non-collinear points.
Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.
3
If you are talking about straight lines, the answer is NONE, because that is what noncollinear means. If curves are allowed, then the answer is infinitely many.
One.exactly one
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.