Position (mathematics) in the context of Affine space

⭐ Core Definition: Position (mathematics)

In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents a point P in space. Its length represents the distance in relation to an arbitrary reference origin O, and its direction represents the angular orientation with respect to given reference axes. Usually denoted x, r, or s, it corresponds to the straight line segment from O to P.In other words, it is the displacement or translation that maps the origin to P:

The term position vector is used mostly in the fields of differential geometry, mechanics and occasionally vector calculus.Frequently this is used in two-dimensional or three-dimensional space, but can be easily generalized to Euclidean spaces and affine spaces of any dimension.

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Position (mathematics) in the context of Vertical position

Vertical position or vertical location is a position along a vertical direction (the plumb line direction) above or below a given vertical datum (a reference level surface, such as mean sea level).Vertical distance or vertical separation is the distance between two vertical positions.Many vertical coordinates exist for expressing vertical position: depth, height, altitude, elevation, etc.Points lying on an equigeopotential surface are said to be on the same vertical level, as in a water level.A function with domain along the vertical line is called a vertical distribution or vertical profile.

View the full Wikipedia page for Vertical position

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Position (mathematics) in the context of Affine space

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⭐ Core Definition: Position (mathematics)

Position (mathematics) in the context of Vertical position