Vector Def Math

Vector describes the movement of an object from one point to another. Illustrated definition of vector. Historically vectors were introduced in geometry and physics typically in mechanics before the formalization of the concept of vector space therefore one often talks about vectors without specifying the vector space to.

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The length of the segment of the directed line is called the magnitude of a vectorand the angle at which the vector is inclined shows the direction of the vector.

Vector def math. It has numerous physical and geometric applications which result mainly from its ability to represent magnitude and direction simultaneously. A vector has magnitude how long it is and direction. Wind for example had both a speed and a direction and hence is conveniently expressed as a vector. A vector as defined below is a specific mathematical structure.

In mathematics and physics a vector is an element of a vector space. Vector mathcan be geometrically picturised by the directed line segment. Play with one below. For many specific vector spaces the vectors have received specific names which are listed below.