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Polar Vector


There are two different definitions of "polar vector."

PolarCoordinates

In elementary math, the term "polar vector" is used to refer to a representation of a vector as a vector magnitude (length) and angle, which is equivalent to specifying its endpoints in polar coordinates (illustrated above).

In physics, a polar vector is a vector such as the radius vector r that reverses sign when the coordinate axes are reversed. Polar vectors are the type of vector usually simply known as "vectors." In contrast, pseudovectors (also called axial vectors) do not reverse sign when the coordinate axes are reversed. Examples of polar vectors include r, the velocity vector v, momentum p, and force F. The cross product of two polar vectors is a pseudovector.


See also

Cylindrical Coordinates, Polar Angle, Polar Coordinates, Polar Plot, Pseudovector, Spherical Coordinates, Vector

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References

Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 128-129, 1985.

Referenced on Wolfram|Alpha

Polar Vector

Cite this as:

Weisstein, Eric W. "Polar Vector." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PolarVector.html

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