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• 11:10, 12 October 2026 Rongzhou talk contribs created page Hyperplane (Created page with "Let $V$ be a vector space over $\mathbb{F}$. {{#content:Q2146}} == Properties == === Inner product space === If $V$ is an inner product space over $\mathbb{F}$ and $P$ is a hyperplane of dimension $k$. $\exists \vec w \in V, b \in \mathbb{F} \Rightarrow \forall \vec u \in P, \langle \vec w, \vec u \rangle =b$ Then $\vec w$ is called the '''normal vector''' of hyperplane $P$. If it is known that $P=\left\{ \vec p + \sum_{i=1}^{k} \lambda_{i}\vec v_{i}\, |\, \v...")