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a few examples of valid linear combinations: v₁ (because this is just 1᛫v₁ + 0᛫v₂ + 0᛫v₃) v₂ 3v₁ + (1/2)v₂ + 10v₃ v₁ - v₂ - v₃ And here are a few examples of what are not linear combinations: (v₁᛫v₂) + v₃ (must be the sum, not product, of vectors) v₁² + v₃ (cannot take exponents of vectors, can