Some articles on exterior product, product, exterior:
... In three dimensions all bivectors can be generated by the exterior product of two vectors ... The exterior product is antisymmetric, so reversing the order of a and b to make a move along b results in a bivector with the opposite direction that is the negative of the first ... This relates the cross product to the exterior product ...
... In three dimensions the geometric product of two vectors is This can be split into the symmetric, scalar valued, interior product and the antisymmetric, bivector valued ... into symmetric scalar and antisymmetric bivector parts as follows The exterior product of two bivectors in three dimensions is zero ... A bivector B can be written as the product of its magnitude and a unit bivector, so writing β for
... In mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors ... Bivectors are generated by the exterior product on vectors given two vectors a and b, their exterior product a ∧ b is a bivector, as is the sum of any bivectors ... Not all bivectors can be generated as a single exterior product ...
Famous quotes containing the words product and/or exterior:
“The site of the true bottomless financial pit is the toy store. Its amazing how much a few pieces of plastic and paper will sell for if the purchasers are parents or grandparent, especially when the manufacturers claim their product improves a childs intellectual or physical development.”
—Lawrence Kutner (20th century)
“Professor Eucalyptus said, The search
For reality is as momentous as
The search for god. It is the philosophers search
For an interior made exterior
And the poets search for the same exterior made
Interior: breathless things broodingly abreath....”
—Wallace Stevens (18791955)