Question

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

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

Answer 1

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.