SOLUTION: TRUE or FALSE: Three points always lie in exactly one plane.

Question 1145343: TRUE or FALSE: Three points always lie in exactly one plane.
Found 2 solutions by greenestamps, Alan3354:
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

FALSE!

There are an infinite number of planes containing any given line; the 3 points could be on the same line.

Any three NON-COLLINEAR points lie on exactly one plane.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Three points always lie in exactly one plane.
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3 points define a plane if they are not co-linear --> true.
3 non co-linear points define 2 lines which intersect and form a triangle, which defines a plane.
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If they are co-linear --> only 1 line --> it's false.

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