scalar product of vectors

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• scalar product — n. the product of the lengths of two vectors and the cosine of the angle between them …   English World dictionary

• scalar product — noun The product of two vectors computed as the sum of the corresponding elements of the vectors, or, equivalently, as the product of the magnitudes of the vectors and the cosine of the angle between their directions. Syn: dot product …   Wiktionary

• scalar product — noun a real number (a scalar) that is the product of two vectors • Syn: ↑inner product, ↑dot product • Hypernyms: ↑real number, ↑real …   Useful english dictionary

• scalar product — noun Date: 1878 a real number that is the product of the lengths of two vectors and the cosine of the angle between them called also dot product, inner product …   New Collegiate Dictionary

• scalar product — noun Mathematics a quantity (written as a.b or ab) equal to the product of the magnitudes of two vectors and the cosine of the angle between them …   English new terms dictionary

• triple scalar product — noun : the scalar product of a vector with the vector product of two other vectors * * * Math. See scalar triple product …   Useful english dictionary

• Scalar (mathematics) — In linear algebra, real numbers are called scalars and relate to vectors in a vector space through the operation of scalar multiplication, in which a vector can be multiplied by a number to produce another vector.More generally, the scalars… …   Wikipedia

• Scalar multiplication — In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra). Note that scalar multiplication is different from scalar product which is an inner… …   Wikipedia

• Scalar resolute — The scalar resolute, also known as the scalar projection or scalar component, of a vector mathbf{b} in the direction of a vector mathbf{a} is given by::mathbf{b}cdotmathbf{hat a} = |mathbf{b}|cos heta where heta is the angle between the vectors… …   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