no
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Any Euclidean plane has infinitely many points.
Only one plane can pass through 3 non-collinear points.
If you're asking a question, then the answer is 'no'. If you're making a statement, then the statement is false. I can always lay a single plane down on any three points you choose. If your points are in the same straight line, then there an infinite number of other planes that your points all lie in. If they're not all in the same straight line, then there's only one plane.
A plane figure has 2 dimensions (length & width$ & is represented by a flat surface. It takes 3 noncollinear points to make a plane. A solid figure has 3 dimensions. It not only has length & width but also depth. It takes 4 noncoplaner points to make space
Sometimes.