PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: High Entry average rating: Very high
orthogonal vectors (Definition)

Two vectors, $ v_1$ and $ v_2$, are orthogonal if and only if their inner product $ \left<x,y\right>$is 0. In two dimensions, orthogonal vectors are perpendicular (or in $ n$ dimensions in the plane defined by the two vectors.)

A set of vectors is orthogonal when, taken pairwise, any two vectors in the set are orthogonal.



"orthogonal vectors" is owned by akrowne.
(view preamble)

View style:

See Also: Gram-Schmidt orthogonalization

Log in to rate this entry.
(view current ratings)

Cross-references: plane, perpendicular, dimensions, inner product, orthogonal, vectors
There are 9 references to this entry.

This is version 4 of orthogonal vectors, born on 2002-01-04, modified 2003-08-27.
Object id is 1285, canonical name is OrthogonalVectors.
Accessed 15737 times total.

Classification:
AMS MSC15-00 (Linear and multilinear algebra; matrix theory :: General reference works )

Pending Errata and Addenda
None.
[ View all 3 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | add derivation | add example | add (any)