Reference frames

For more figures related to the definition of coordinate systems, please have a look at the “coordinates” tag.

Edit and compile if you like:

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% Author: Izaak Neutelings (September 2020)
\documentclass[border=3pt,tikz]{standalone}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage{physics}
\usetikzlibrary{intersections}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{angles,quotes} % for pic
\usetikzlibrary{decorations.pathmorphing} % for decorate random steps
\tikzset{>=latex} % for LaTeX arrow head
\usepackage{xcolor}
\colorlet{xcol}{blue!70!black}
\colorlet{xcol'}{xcol!50!red!80!black}
\colorlet{veccol}{green!45!black}
\tikzstyle{vector}=[->,thick,veccol,line cap=round]
\tikzstyle{rvec}=[->,thick,xcol,line cap=round]
\begin{document}
% VECTOR breakdown on axis
\begin{tikzpicture}
  \small
  \def\L{0.8}
  \def\R{2.3}
  \def\ang{26}
  \def\thet{-52}
  \coordinate (O) at (0,0);
  \coordinate (O1) at (3.6,0.4);
  \coordinate (O2) at (0.9,1.8);
  \coordinate (O3) at (1.8,-0.5);
  \coordinate (R) at (\ang:\R);
  \node[fill=black,circle,inner sep=0.9] (R') at (R) {};
  
  % O1
  \draw[<->,thick] (\L,0) node[below] {$x$} --
                   (O) node[below left=-3] {O} --
                   (0,\L) node[left=-1] {$y$};
  \draw[rvec] (O) -- (R');
  
 
 
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