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(u₁, u₂) ⊕ (v₁, v₂) := (u₁ + v₁ - 1, u₂ + v₂)"

"Scalar multiplication: a (u₁, u₂) := (a u₁ - a + 1, a u₂)"

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Final answer:

Vectors can be added together and multiplied by scalars. Vector addition is associative and commutative, and vector multiplication by a sum of scalars is distributive.

Step-by-step explanation:

Vectors can be added together and multiplied by scalars. Vector addition is associative and commutative, and vector multiplication by a sum of scalars is distributive. Scalar multiplication by a sum of vectors is also distributive.

User Jan Olaf Krems
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