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Earn +20 ptsQ: Do Four points lie on the same plane always sometimes or never?
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Can 3 points be non-coplanar is outside the plane?
If you are given a plane, you can always find and number of points that are not in that plane but, given anythree points there is always at least one plane that goes through all three.
A line and a point not on the line are never coplanar?
No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar
Can one plane sometimes pass through three noncollinear points?
no
A line passing through two distinct points in one plane lies completely in that plane?
Always
What is the set of all points on a plane so that the sum of the distances from two fixed points is always constant?
an ellipse.
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