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If the points are all in a straight line, then they could lie along the line of intersection of both planes.

Mark three points on a piece of paper, in a straight line, and then fold the paper along that line so that the paper makes two intersecting planes. The three points on on each plane, but the plants are not the same.

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15y ago
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Q: Is it true without exception that if P Q R are points contained by plane X and also by plane Y then X is the same plane as Y?
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