Yes.
Two vectors that have equal magnitude and point in opposite directions have a sum of zero. (Like <1,0> and <-1,0>, one pointing in the positive x direction and one in negative x direction.
The same idea applies with three vectors. For example, <1,0,0>, <-1,1,0> and <0,-1,0> have a sum of <0,0,0>.
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If three vectors form a triangle , their vector sum is zero.
Three vectors are coplanar if they sum to zero. V1 + V2 + V3 = o means the three vectors are coplanar.
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.
With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.