Find all inner products on $\mathbb{R^2}$
88153
Finding all inner products on $\mathbb{R}^2$ for which a given linear map is orthogonal
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
132487
Proving that if $V$ is an inner product space and $U_1, U_2$ are subsets, then $U_1 \subset U_2$ if and only if $U^{\perp}_2 \subset U^{\perp}_1$
18839
Proof about inner product space $\vert \langle x,y\rangle \vert=\Vert x \Vert\Vert y \Vert$
115012
Klein-Gordon inner product
57660
Biliniear form to inner product
127491
Isometric isomorphism between $R^2$ and $R$
155479
Summation of inner products
115272
Showing that projections $\mathbb{R}^2 \to \mathbb{R}$ are not closed
21363
Prove the uniqueness of an inner product
148101
Basis for $\mathbb{Z}^2$
64523
interior points and limit points of $\{(x,y): x^2+2y^2 < 1\}$
89089
Prove that there is a unique inner product on $V$
64140
Find a bijection from $\mathbb R$ to $\mathbb R-\mathbb N$
35626
Is $(\mathbb{R}^2, lexicographic) \cong (\mathbb{R}, discrete)\times (\mathbb{R}, usual)$?
128985
Show that $\langle x,y\rangle_A = \langle Ax,Ay\rangle$ is an inner product on $\mathbb R^n$
125212
How to Show that the Only Subspaces of $R^2$ are the zero subspace, $R^2$ itself, and the lines through the origin