Let V be an inner product space over the field of real numbers with the inner product defined as (u, v) = Σ²₁ U₂v₂ for any vectors u = (U₁, U2, ..., Un) and v = (V1, V2, ..., VÅ) in V. Let a = (1, 2, 3), b = (4, −1, 3), and c = (0, 2, — 2) be vectors in V. Determine if the set {a, b, c } is an orthogonal set.

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