(115) 3

Part of 1986 Tournament Of Towns

Problems(1)

TOT 115 1986 Spring S3 edges of tetrahedron coincide with vectors, 0 sum?

Source:

Vectors coincide with the edges of an arbitrary tetrahedron (possibly non-regular). Is it possible for the sum of these six vectors to equal the zero vector?
(Problem from Leningrad)

vectortetrahedronregular tetrahedrongeometry3D geometry