Yes, any points that are located on the same line will also be on the same plane. You can have more than one plane intersect a given line, but any points on that line will necessarily be on all the planes that intersect that line.
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True.
Yes, two points are always collinear. You can draw a line through any two points.
YES!
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
They must be coplanar before they can be colinear. They lie on the same line or equivalently, they must all satisfy te same linear equation.