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True or false. Any 3 distinct points are always coplanar

2 Answers

5 votes

Answer:

Coplanar means "lying on the same plane". Points are coplanar, if they are all on the same plane. Any three points are coplanar but with more than three points, there is the possibility that they are not coplanar so its false.

Explanation:

User Teflon
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4 votes

Answer: False

Explanation:

Three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique. However, a set of four or more distinct points will, in general, not lie in a single plane. Two lines in three-dimensional space are coplanar if there is a plane that includes them both.

User Felix Zumstein
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