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2. Vector calculus - Wikipedia

   en.wikipedia.org/wiki/Vector_calculus

   Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional Euclidean space, . [1] The term vector calculus is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial differentiation and multiple integration.

3. Vector algebra relations - Wikipedia

   en.wikipedia.org/wiki/Vector_algebra_relations

   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.

4. Lists of vector identities - Wikipedia

   en.wikipedia.org/wiki/Lists_of_vector_identities

   Vector algebra relations — regarding operations on individual vectors such as dot product, cross product, etc. Vector calculus identities — regarding operations on vector fields such as divergence, gradient, curl, etc.

5. Vector Analysis - Wikipedia

   en.wikipedia.org/wiki/Vector_Analysis_(Gibbs/Wilson)

   Vector Analysis is a textbook by Edwin Bidwell Wilson, first published in 1901 and based on the lectures that Josiah Willard Gibbs had delivered on the subject at Yale University. The book did much to standardize the notation and vocabulary of three-dimensional linear algebra and vector calculus, as used by physicists and mathematicians. It was ...

6. Vector calculus identities - Wikipedia

   en.wikipedia.org/wiki/Vector_calculus_identities

   The dotted vector, in this case B, is differentiated, while the (undotted) A is held constant. The utility of the Feynman subscript notation lies in its use in the derivation of vector and tensor derivative identities, as in the following example which uses the algebraic identity C⋅(A×B) = (C×A)⋅B:

7. Vector algebra - Wikipedia

   en.wikipedia.org/wiki/Vector_algebra

   In mathematics, vector algebra may mean: The operations of vector addition and scalar multiplication of a vector space; The algebraic operations in vector calculus (vector analysis) – including the dot and cross products of 3-dimensional Euclidean space; Algebra over a field – a vector space equipped with a bilinear product