KnowraExterior algebraLinked fromLinked fromThe 9 pages that link to Exterior algebra, each with the reason it gives.All 9Related 7Narrower topic 2Differential formRelated: Its graded spaces provide the algebraic home for differential forms.Cross productNarrower topic: It generalizes the cross product's antisymmetric operation beyond three-dimensional space.Tensor productRelated: It is another quotient of the tensor algebra, imposing that repeated vectors have zero exterior product.Exterior derivativeNarrower topic: Alternating products provide the algebraic structure on which differential forms and their derivative depend.Geometric algebraRelated: Its wedge product appears as the antisymmetric part of the geometric product.Vector geometryRelated: Its wedge product generalizes the area and volume ideas behind vector products.Binet–Cauchy identityRelated: The induced map on exterior powers turns the identity into composition of linear maps.Cauchy–Binet formulaRelated: The induced maps on exterior powers turn the identity into a matrix-product rule.Rotations in 4-dimensional Euclidean spaceRelated: Bivectors offer a coordinate-independent language for the planes rotated by SO(4).