Real Vector Space We will skip Chapter 1. Definition A vector space over R or(for short)a real vector space is a triple (V,+,where. 1 V is a set, 2 +is a binary operator that assigns to any pair v1,v2E V a new element vr+v2∈V, 3·is a binary operation that assigns to any pair c∈R and c∈Va new vector c.u∈V The operation satisfies 5 axioms. 4口++心++左+4生+定QCReal Vector Space We will skip Chapter 1. Definition A vector space over R or (for short) a real vector space is a triple (V, +, ·) where, 1 V is a set, 2 + is a binary operator that assigns to any pair v1, v2 ∈ V a new element v1 + v2 ∈ V , 3 · is a binary operation that assigns to any pair c ∈ R and c ∈ V a new vector c·v ∈ V . The operation + satisfies 5 axioms