Thu September 19, 2013 By: Stuti

how many planes can be pass through (1). 3 collinear points (2). 3 non-collinear points

Expert Reply
Fri September 20, 2013
The points are collinear, and there is an infinite number of planes that contain a given line. A plane containing the line can be rotated about the line by any number of degrees to form an unlimited number of other planes.

If, on the other hand, the points are not collinear, then the plane has no wriggle room: it is stuck fast in one place - there can be only one plane containing all the points. Provided they are non-collinear, three points will define a single plane.

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