For more figures related to the definition of coordinate systems, please have a look at the “coordinates” tag.
Edit and compile if you like:
\documentclass[border=3pt]{standalone} %Drawing \usepackage{tikz} %3D \usepackage{tikz-3dplot} %Tikz Library \usetikzlibrary{angles, quotes, intersections} %Styles \tikzset{axis/.style={thick,-latex}} \tikzset{vec/.style={thick,blue}} \tikzset{univec/.style={thick,red,-latex}} %Notation \usepackage{physics} \usepackage{bm} \begin{document} \tdplotsetmaincoords{70}{110} % \pgfmathsetmacro{\thetavec}{48.17} \pgfmathsetmacro{\phivec}{63.5} % \begin{tikzpicture}[tdplot_main_coords] %Axis \draw[axis] (0,0,0) -- (6.5,0,0) node [pos=1.1] {$x$}; \draw[axis] (0,0,0) -- (0,6,0) node [pos=1.05] {$y$}; \draw[axis] (0,0,0) -- (0,0,5.5) node [pos=1.05] {$z$}; %Unit Vectors % \tdplotsetcoord{p}{1}{90}{\phivec} % \draw[univec] (2,4,0) -- ($(p)+(2,4,0)$) node [pos=1.35] {$\vu*{\varpi}$}; \tdplotsetcoord{P'}{7}{\thetavec}{\phivec} \draw[univec] (0,0,0) -- (P') node [pos=1.05] {$\vu{r}$}; \tdplotsetcoord{P''}{1}{90}{90+\phivec} \draw[univec] (2,4,0) -- ($(P'') + (2,4,0)$) node [pos=1.3] {$\vu*{\phi}$}; \tdplotsetcoord{P'''}{1}{90+\thetavec}{\phivec} \draw[univec] (2,4,4) -- ($(P''') + (2,4,4)$) node [pos=1.3] {$\vu*{\theta}$}; %Vectors \tdplotsetcoord{P}{6}{\thetavec}{\phivec} \draw[vec] (0,0,0) -- (P) node [midway, above] {$r$}; \draw[thick] (0,0,0) -- (2,4,0); %Help Lines \draw[dashed] (2,4,4) -- (2,4,0); \draw[dashed] (2,0,0) -- (2,4,0) node [pos=-0.1] {$x$}; \draw[dashed] (0,4,0) -- (2,4,0) node [pos=-0.3] {$y$}; \draw[dashed] (0,0,4) -- (2,4,4) node [pos=-0.1] {$z$}; \draw[dashed, tdplot_main_coords] (4.47,0,0) arc (0:90:4.47); %Point \node[fill=black, circle, inner sep=0.8pt] at (2,4,4) {}; %Angles \tdplotdrawarc{(0,0,0)}{0.7}{0}{\phivec}{below}{$\phi$} \tdplotsetthetaplanecoords{\phivec} \tdplotdrawarc[tdplot_rotated_coords]{(0,0,0)}{0.5}{0}{\thetavec}{}{} \node at (0,0.25,0.67) {$\theta$}; \end{tikzpicture} \end{document}
Click to download: spherical_1.tex
Open in Overleaf: spherical_1.tex
This file is available on GitHub.
See more on the author page of Alexandros Tsagkaropolulos.