Work Step by Step
For vectors of equal magnitude, consider an equilateral triangle. If you imagine that each side of the triangle represented a vector (meaning that each was of equal length), you could go along all three vectors and come back to the initial point, which means the sum of the vectors would be 0. Imagining the same set up, this could happen with non-equilateral triangles as well. Thus, vectors of unequal length could also sum to 0.