Affine space/Basic rules/Exercise

Let ${}E$ be an affine space over the ${}K$-vector space ${}V$. Show the following identities in ${}V$.

1. ${}{\overrightarrow {PP}}=0$ for ${}P\in E$.
2. ${}{\overrightarrow {PQ}}=-{\overrightarrow {QP}}$ for ${}P,Q\in E$.
3. ${}{\overrightarrow {PQ}}+{\overrightarrow {QR}}={\overrightarrow {PR}}$ for ${}P,Q,R\in E$.

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