Vector space/Two points/Affine-linear mapping/Exercise

Let ${}K$ be a field and let ${}W$ be a ${}K$-vector space. Prove that given two vectors ${}u,v\in W$ there exists exactly one affine-linear map

$\alpha \colon K\longrightarrow W$

sucht that

${}\alpha (0)=u$ and ${}\alpha (1)=v$.

Create a solution