Given a vector space $V$, prove that every $omega inleft(V^{star} ight)^{star}$ can be uniquely associated with a

Given a vector space $V$, prove that every $\omega \in\left(V^{\star}\right)^{\star}$ can be uniquely associated with a vector $\vec{v} \in V$, such that $\omega(f)=\langle

f, \vec{v}angle$.