No. You cannot have a coplanar point without something to define the plane first.
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No. In order to be coplanar, points have to be in the line.
Yes.
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Three or more points are collinear if they are all in the same straight line. They are non collinear if at least one of them is not on the same line as the rest. Four or more points are coplanar if they are all in the same plane. They are non coplanar if at least one of them is not on the same plane as the rest.
Three vectors are coplanar if they sum to zero. V1 + V2 + V3 = o means the three vectors are coplanar.