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A position vector is a vector used to describe the spatial position of a point relative to a reference point called the origin (of the space). It is also called radius vector. In physics and in vector calculus, a spatial vector is a concept characterized by a magnitude, which is a scalar, and a direction (which can be defined in a 3-dimensional space by the Euler angles). ...
Position vectors are usually 2- or 3-dimensional, but could also be N-dimensional if belonging to an N-dimensional Euclidean hyperspace.
In linear algebra, a position vector can be expressed as a linear combination of basis vectors.
The kinematic movement of a point mass can be described by a position vector field P(t) which depends on a scalar time parameter t. This article or section may be confusing for some readers, and should be edited to be clearer or more simplified. ...
A point mass in physics is an idealisation of a body whose dimensions can be neglected compared to the distances of its movement. ...
Vector field given by vectors of the form (-y, x) In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a Euclidean space. ...
In physics, moving position vectors are used in mechanics and dynamics to keep track of the positions of particles, point masses, or rigid objects.
In differential geometry, position vector fields are used to describe continuous and differentiable space curves, in which case the independent parameter need not be time, but can be (e.g.) arc length of the curve.
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