Three vectors are coplanar if they sum to zero. V1 + V2 + V3 = o means the three vectors are coplanar.
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Coplanar :The vectors are in the same plane.Non coplanar :The vectors are not in the same plane.
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Easy, the fourth vector (D) be opposite the sum of the other three non-coplanar vectors (A , B, C). 0=A + B + C + D where D = -(A + B + C).
The orientation of the three vectors that sum to zero must be coplanar, contained in the same common plane, including being contained in a common line in a plane.