vector

A vector may be considered as the position vector of a point P from an origin O or as a translation vector, a movement of space. In this way the zero vector may considered as the position vector of the origin or as no translation. The distinction between a vector and a coordinate vector may in some contexts be important, especially if more than one coordinate system is being used; in this case the same vector may have different coordinates in the two systems.

With a given coordinate system, a vector can be identified with an ordered pair (x,y) or ordered triple (x,y,z), whether considered as a position vector or a translation vector. This definition can easily be generalized to other dimensions. Addition and scalar multiplication may be defined componentwise. Other operations are important (see scalar product, vector product).

• symbolic logic
• symmetrical about a line
• symmetrical about a point
• symmetric design
• symmetric difference
• symmetric function
• symmetric group
• symmetric matrix
• symmetric relation
• symmetry
• symmetry group
• symplectic geometry
• symplectic group
• synthetic geometry
• systematic error
• systematic sampling
• system of particles
• systems analysis
• Système International d'Unités
• Szemerédi's theorem
• T
• T
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• tableau
• tables