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Earn +20 ptsQ: Can one line pass through 3 non collinear points?
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Do collinear points lay on parallel lines?
Colinear points mean that if you draw a (really long) line between any two of them, the line will pass through the others. Or simply: there can exist a straight line that can pass through all of them. These are colinear points: . .... .. One line can pass through all of them: These ar not colinear points: :. If I try to connect any two of them with a line, the third point will not lie on that line.
Can only one plane can pass through three non-collinear points?
Yes.
What is the greatest number of planes that can pass throughg 3 collinear points?
If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.
How many different planes can pass through 3 non-collinear points?
In Euclidean geometry, only one.
How many planes can be made to pass through 3 distinct points?
Infinitely many if the 3 distinct points are collinear. Otherwise just 1.
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