triple product of three vectors

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• Triple product — This article is about the mathematical product. For the product in nuclear fusion, see Lawson criterion. In mathematics, the triple product is a product of three vectors. The name triple product is used for two different products, the scalar… …   Wikipedia

• Triple product rule — The triple product rule, known variously as the cyclic chain rule, cyclic relation, cyclical rule or Euler s chain rule, is a formula which relates partial derivatives of three interdependent variables. The rule finds application in… …   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

• scalar triple product — Math. the volume of the parallelepiped defined by three given vectors, u, v, and w, usually represented as u·v1(v×w), [uvw], or (uvw), where × denotes a cross product and · denotes an inner product. Also, triple scalar product. [1900 05] * * * …   Universalium

• Dot product — Scalar product redirects here. For the abstract scalar product, see Inner product space. For the operation on complex vector spaces, see Hermitian form. For the product of a vector and a scalar, see scalar multiplication. In mathematics, the dot… …   Wikipedia

• Covariance and contravariance of vectors — For other uses of covariant or contravariant , see covariance and contravariance. In multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities… …   Wikipedia

• Multiplication of vectors — Vector multiplication may concern any of the following articles: Dot product Also known as the scalar product , an operation which takes two vectors and returns a scalar quantity Cross product Also known as the vector product , a binary operation …   Wikipedia

• Seven-dimensional cross product — In mathematics, the seven dimensional cross product is a binary operation on vectors in a seven dimensional Euclidean space. It is a generalization of the ordinary three dimensional cross product. The seven dimensional cross product has the same… …   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

• Exterior 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… …   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