four-vector dot product

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• Four-vector — In relativity, a four vector is a vector in a four dimensional real vector space, called Minkowski space. It differs from a vector in that it can be transformed by Lorentz transformations. The usage of the four vector name tacitly assumes that… …   Wikipedia

• Vector quadruple product — The vector quadruple product of four vectors A, B, C and D in three dimensions is defined as:: (mathbf{A} imes mathbf{B}) cdot (mathbf{C} imes mathbf{D}) = (mathbf{A} cdot mathbf{C})(mathbf{B} cdot mathbf{D}) (mathbf{A} cdot mathbf{D})(mathbf{B}… …   Wikipedia

• vector analysis — the branch of calculus that deals with vectors and processes involving vectors. * * * ▪ mathematics Introduction       a branch of mathematics that deals with quantities that have both magnitude and direction. Some physical and geometric… …   Universalium

• Vector 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… …   Wikipedia

• Vector calculus — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

• Four-acceleration — In special relativity, four acceleration is a four vector and is defined as the change in four velocity over the particle s proper time:: mathbf{A} =frac{dmathbf{U{d au}=left(gamma udotgamma u c,gamma u^2mathbf a+gamma udotgamma umathbf u… …   Wikipedia

• Four-gradient — The four gradient is the four vector generalization of the gradient::partial alpha stackrel{mathrm{def{=} left(frac{1}{c} frac{partial}{partial t}, abla ight)and is sometimes also represented as D .The square of D is the four Laplacian, which is… …   Wikipedia

• Laplace–Runge–Lenz vector — Throughout this article, vectors and their magnitudes are indicated by boldface and italic type, respectively; for example, left| mathbf{A} ight| = A. In classical mechanics, the Laplace–Runge–Lenz vector (or simply the LRL vector) is a vector… …   Wikipedia

• Euclidean 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 …   Wikipedia

• Cross product — This article is about the cross product of two vectors in three dimensional Euclidean space. For other uses, see Cross product (disambiguation). In mathematics, the cross product, vector product, or Gibbs vector product is a binary operation on… …   Wikipedia

• Unit vector — In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) whose length is 1 (the unit length). A unit vector is often denoted by a lowercase letter with a hat , like this: (pronounced i hat ). In Euclidean space …   Wikipedia