Vector algebra relations
Formulas about vectors in three-dimensional Euclidean space / From Wikipedia, the free encyclopedia
See also: Vector calculus identities
The following are important identities in vector algebra. Identities that only involve the magnitude of a vector and the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension, while identities that use the cross product (vector product) A×B only apply in three dimensions, since the cross product is only defined there.[nb 1][1]
Most of these relations can be dated to founder of vector calculus Josiah Willard Gibbs, if not earlier.[2]