# Cartesian coordinates

**Learn about this topic** in these articles:

### Assorted References

**application to electromagnetic fields**- In geomagnetic field: Representation of the field
…different coordinate systems, such as Cartesian, polar, and spherical. In a Cartesian system the vector is decomposed into three components corresponding to the projections of the vector on three mutually orthogonal axes that are usually labeled

Read More*x*,*y*,*z*. In polar coordinates the vector is typically described by the length…

- In geomagnetic field: Representation of the field
**reference frame**- In mechanics: Vectors
…and

Read More*z*(*t*) in a particular Cartesian frame of reference. However, a different observer of the same particle might choose a differently oriented set of mutually perpendicular axes, say,*x′, y′*, and*z′*. The motion of the particle is then described by the first observer in terms of the rate of…

- In mechanics: Vectors
**relationship to polar coordinates**- In polar coordinates
A simple relationship exists between Cartesian coordinates(

Read More*x,y*) and the polar coordinates (*r,**θ*)*,*namely:*x*=*r*cos*θ,*and*y*=*r*sin*θ*.

- In polar coordinates

### use in

**classical mechanics**- In mechanics: Vectors
…typically written in terms of Cartesian coordinates. At a certain time

Read More*t*, the position of a particle may be specified by giving its coordinates*x*(*t*),*y*(*t*), and*z*(*t*) in a particular Cartesian frame of reference. However, a different observer of the same particle might choose a differently oriented set of…

- In mechanics: Vectors
**representation of vectors**- In principles of physical science: Gradient
…similarly be represented by three Cartesian components, along

Read More*x*,*y*, and*z*axes; e.g.,= (**V***V*_{x},*V*_{y},*V*_{z}).

- In principles of physical science: Gradient