Vectors components & scalar product

Some basic vector diagrams, to illustrate vector components, unit vectors, angles, scalar product, etc.
Also see other figures under the “vectors” tag: vector sum rule, right-hand rule, or the divergence and curl of vector fields.

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}
\usepackage[outline]{contour} % glow around text
\usetikzlibrary{angles,quotes} % for pic
\contourlength{1.2pt}
\tikzset{>=latex} % for LaTeX arrow head
\usepackage{xcolor}
\colorlet{veccol}{green!70!black}
\colorlet{vcol}{green!70!black}
\colorlet{xcol}{blue!85!black}
\colorlet{projcol}{xcol!60}
\colorlet{unitcol}{xcol!60!black!85}
\colorlet{myblue}{blue!70!black}
\colorlet{myred}{red!90!black}
\colorlet{mypurple}{blue!50!red!80!black!80}
\tikzstyle{vector}=[->,very thick,xcol]
\begin{document}
% VECTOR breakdown on axis
\begin{tikzpicture}
  \def\ul{0.52}
  \def\R{2.6}
  \def\ang{28}
  \coordinate (O) at (0,0);
  \coordinate (R) at (\ang:\R);
  \coordinate (X) at ({\R*cos(\ang)},0);
  \coordinate (Y) at (0,{\R*sin(\ang)});
  \node[fill=black,circle,inner sep=0.9] (R') at (R) {};
  \node[above right=-2] at (R') {$(x,y)$};
  \draw[<->,line width=0.9] %very thick
    ({1.2*\R*cos(\ang)},0) -- (O) -- (0,{1.3*\R*sin(\ang)});
  \draw[projcol,dashed] (X) -- (R);
  \draw[projcol,dashed] (Y) -- (R);
  \draw[vector] (O) -- (R') node[midway,left=5,above right=0] {$\vb{r}$};
 
 
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