List questions from inner-products

Published on 21 Nov 2014 - 14:39

3k

Views

Let V be an inner product space. Prove that for every $u,v\in V: (u,v)=\frac{1}{4}\left(||u+v||^{2}-||u-v||^{2}\right)$

Published on 25 Nov 2014 - 16:19

75

Views

Use the orthonormality of $u,v,w$ to write the following vectors as linear combinations of $u,v$ and $w$

Published on 26 Mar 2026 - 16:10

3.7k

Views

Vector Algebra Coordinate Transformation

Published on 29 Mar 2026 - 8:44

383

Views

Definition of angle between vectors in spaces with dimensions n

Published on 28 Nov 2014 - 6:18

5.2k

Views

Finding the closest vector in a subspace to another vector

Published on 30 Nov 2014 - 10:15

1.5k

Views

Finding the Orthogonal Complement to a subspace

Published on 28 Mar 2026 - 15:45

185

Views

Relative complement and subtraction.

Published on 01 Dec 2014 - 17:59

449

Views

$H_0^1(\Omega)$ with $(u,v)_{H_0^1} = \int\nabla u \cdot \nabla v$

Published on 01 Apr 2026 - 15:00

623

Views

Inner product alternative definition

Published on 03 Dec 2014 - 17:27

4.3k

Views

A subspace $X$ is closed iff $X =( X^\perp)^\perp$

Published on 04 Apr 2026 - 9:38

195

Views

Solution Operator for inhomogenous Dirichlet Problem

Published on 29 Mar 2026 - 13:59

38

Views

Scalar Products equation proof

Published on 05 Dec 2014 - 1:11

106

Views

Proofing the sum of the squre cosines of the angle between a vector and the vectors of the base.

Published on 26 Mar 2026 - 16:10

794

Views

Let u and v be nonzero vectors in an inner product space V. Prove that $u-projv(u)$ is or orthogonal to v.

Published on 05 Dec 2014 - 8:39

List Question

Bilinear Map vs Inner Product

Let V be an inner product space. Prove that for every $u,v\in V: (u,v)=\frac{1}{4}\left(||u+v||^{2}-||u-v||^{2}\right)$

Use the orthonormality of $u,v,w$ to write the following vectors as linear combinations of $u,v$ and $w$

Vector Algebra Coordinate Transformation

Definition of angle between vectors in spaces with dimensions n

Finding the closest vector in a subspace to another vector

Finding the Orthogonal Complement to a subspace

Relative complement and subtraction.

$H_0^1(\Omega)$ with $(u,v)_{H_0^1} = \int\nabla u \cdot \nabla v$

Inner product alternative definition

A subspace $X$ is closed iff $X =( X^\perp)^\perp$

Solution Operator for inhomogenous Dirichlet Problem

Scalar Products equation proof

Proofing the sum of the squre cosines of the angle between a vector and the vectors of the base.

Let u and v be nonzero vectors in an inner product space V. Prove that $u-projv(u)$ is or orthogonal to v.

Trending Questions

Popular # Hahtags

Popular Questions