Points A, B, and C are noncollinear. How many planes can be determined by A, B, and C?
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Expert's answer
2012-05-29T07:45:34-0400
In 3-dimensional space if the points A, B, and C are noncollinear, i.e. do not belong to the same line, then there exists a UNIQUE plane passing through these points.
Therefore AB and AC are distinct lines. Therefore by one of axioms of elementary geometry, these lines determine a unique plane.
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