Question #9089

Points A, B, and C are noncollinear. How many planes can be determined by A, B, and C?

Expert's answer

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.

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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