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If points A, B, and C are not on the same line, they determine a single plane.

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15y ago

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

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Points A B and C are noncollinear. How many lines are determined by A B and C?

Three noncollinear points A, B, and C determine exactly three lines. Each pair of points can be connected to form a line: line AB between points A and B, line AC between points A and C, and line BC between points B and C. Thus, the total number of lines determined by points A, B, and C is three.


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Three noncollinear points ( A ), ( B ), and ( C ) determine exactly three lines: line ( AB ), line ( BC ), and line ( AC ). Each pair of points defines a unique line, and since the points are noncollinear, no two lines coincide. Thus, the total number of lines determined by points ( A ), ( B ), and ( C ) is three.


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