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Figure 3
Geometric interpretation of the vector decomposition ξ = ξ1e1 + ξ2e2 + ξ3e3, subject to the constraint ξ1 + ξ2 + ξ3 = 0. The components ξ1, ξ2, ξ3 are defined by the orthogonal projections on the axes e1, e2, e3, with the appropriate sign and the scaling factor of 2/3.

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