Parallelepiped
91Geometric algebra — In mathematical physics, a geometric algebra is a multilinear algebra described technically as a Clifford algebra over a real vector space equipped with a non degenerate quadratic form. Informally, a geometric algebra is a Clifford algebra that… …
92Prismatoid — A prismatoid is a polyhedron where all vertices lie in two parallel planes. (If both planes have the same number of vertices, and the lateral faces are either parallelograms or trapezoids, it is called a prismoid .)If the areas of the two… …
93Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …
94Volume — The volume of any solid, plasma, vacuum or theoretical object is how much three dimensional space it occupies, often quantified numerically. One dimensional figures (such as lines) and two dimensional shapes (such as squares) are assigned zero… …
95Euclidean vector — This article is about the vectors mainly used in physics and engineering to represent directed quantities. For mathematical vectors in general, see Vector (mathematics and physics). For other uses, see vector. Illustration of a vector …
96Simplex — For other uses, see Simplex (disambiguation). A regular 3 simplex or tetrahedron In geometry, a simplex (plural simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimension. Specifically, an n… …
97Parallelogram — In geometry, a parallelogram is a quadrilateral with two sets of parallel sides. The opposite sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are congruent. The three dimensional counterpart of a… …
98Cramer's rule — In linear algebra, Cramer s rule is a theorem, which gives an expression for the solution of a system of linear equations with as many equations as unknowns, valid in those cases where there is a unique solution. The solution is expressed in… …
99Invertible matrix — In linear algebra an n by n (square) matrix A is called invertible (some authors use nonsingular or nondegenerate) if there exists an n by n matrix B such that where In denotes the n by n identity matrix and the multiplication used is ordinary… …
100Exterior algebra — In mathematics, the exterior product or wedge product of vectors is an algebraic construction generalizing certain features of the cross product to higher dimensions. Like the cross product, and the scalar triple product, the exterior product of… …
