1.5 KiB
1.5 KiB
| title |
|---|
| Orthogonality |
Orthogonality
In mathematics and linear algebra, two vectors u and v are said to be orthogonal when their dot product is 0:
Orthogonality can be thought of as perpendicularity generalized to higher dimensional vector spaces, since the two are the same- they imply that a right angle is formed by the line, plane, or vector.
The following are all examples of orthogonality:
- If two vectors are perpendicular, that is, they meet or intersect at a right (90 degree) angle, they are orthogonal.
- Two vectors are orthogonal if their inner product (dot product) is equal to 0.
- Two vector subspaces A and B in V are orthogonal if every vector in V is orthogonal to every vector in B.