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Triple product - Wikipedia

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In geometry and algebra, the triple product is a product of three 3-dimensional vectors, usually Euclidean vectors. The name "triple product" is used for two different products, the scalar-valued scalar triple product and, less often, the vector-valued vector triple product. The scalar triple product (also called the mixed product, box product, or triple scalar product) is defined as the dot product of one of the vectors with the cross product of the other two. Geometrically, the scalar triple product is the (signed) volume of the parallelepiped defined by the three vectors given. Strictly speaking, a scalar does not change at all under a coordinate transformation. (For example, the factor of 2 used for doubling a vector does not change if the vector is in spherical vs. rectangular coordinates.) However, if each vector is transformed by a matrix then the triple product ends up being multiplied by the determinant of the transformation matrix. That is, the triple product of covariant vec

Triple product - Wikipedia Jump to content From Wikipedia, the free encyclopedia Ternary operation on vectors This article is about ternary operations on vectors. For other uses, see Triple product (disambiguation) . "Signed volume" redirects here. For autographed books, see Bibliophilia . In geometry and algebra , the triple product is a product of three 3- dimensional vectors, usually Euclidean vectors . The name "triple product" is used for two different products, the scalar -valued scalar triple product and, less often, the vector -valued vector triple product . Scalar triple product [ edi

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