This drawing shows the relationship between descriptions of a vector <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {\boldsymbol {r}}}}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow class="MJX-TeXAtom-ORD"><mrow class="MJX-TeXAtom-ORD"><mover><mi mathvariant="bold-italic">r</mi><mo stretchy="false">→<!-- → --></mo></mover></mrow></mrow></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle {\vec {\boldsymbol {r}}}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d652fefe21815f41858e31ed3d3cf8ad62009b9" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:1.31ex; height:2.343ex;" alt="{\displaystyle {\vec {\boldsymbol {r}}}}"></span> in the cartesian <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (x,y,z)}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>,</mo><mi>z</mi><mo stretchy="false">)</mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle (x,y,z)}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/22a8c93372e8f8b6e24d523bd5545aed3430baf4" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:7.45ex; height:2.843ex;" alt="{\displaystyle (x,y,z)}"></span>, cylindrical <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\rho ,\phi ,z)}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mi>ρ<!-- ρ --></mi><mo>,</mo><mi>ϕ<!-- ϕ --></mi><mo>,</mo><mi>z</mi><mo stretchy="false">)</mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle (\rho ,\phi ,z)}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5959e4609bcc3d932ed3d957e52302c760716855" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:7.553ex; height:2.843ex;" alt="{\displaystyle (\rho ,\phi ,z)}"></span>, and spherical <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (r,\theta ,\phi )}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>θ<!-- θ --></mi><mo>,</mo><mi>ϕ<!-- ϕ --></mi><mo stretchy="false">)</mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle (r,\theta ,\phi )}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b9e918fbb45350470ed9142d8ba0016fed78e130" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:7.402ex; height:2.843ex;" alt="{\displaystyle (r,\theta ,\phi )}"></span> <a href="//commons.wikimedia.org/w/index.php?title=Coordinates_(elementary_mathematics)&amp;action=edit&amp;redlink=1" class="new" title="Coordinates (elementary mathematics) (page does not exist)">coordinate systems</a>.  The symbols used here follow the convention in <a href="//commons.wikimedia.org/wiki/Physics" title="Physics">physics</a>, which differs from that used commonly in <a href="//commons.wikimedia.org/wiki/Mathematics" class="mw-redirect" title="Mathematics">mathematics</a> textbooks.
<a href="https://en.wikipedia.org/wiki/User:Jacobolus" class="extiw" title="en:User:Jacobolus">en:User:Jacobolus</a>, <a href="//commons.wikimedia.org/wiki/User:Stannered" title="User:Stannered">User:Stannered</a>
2005-03-06, 2008-02-13
<a href="https://en.wikipedia.org/wiki/Image:Physics_Coordinates.png" class="extiw" title="en:Image:Physics Coordinates.png">en:Image:Physics Coordinates.png</a>