I'm struggling with the proper location of three angles. Here is the picture I want to draw:
And here is what I have so far:
\documentclass[12pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usepackage{mathrsfs}
\usetikzlibrary{arrows}
\pagestyle{empty}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
x=1.0cm,y=1.0cm,
axis lines=middle,
xmin=-2,
xmax=4,
ymin=-2,
ymax=4,
xtick={-2.0,-1.0,...,4.0},
ytick={-2.0,-1.0,...,4.0},
]
%\draw [line width=.5pt,color=yellow,fill=yellow,fill opacity=0.11] (0,0) -- (0.:0.3) arc (0.:34:0.7) -- cycle;
\draw [shift={(-2,-2)},line width=.5pt,color=brown,fill=brown,fill opacity=0.11] (0,0) -- (0.:0.3) arc (0.:72:0.3) -- cycle;
\draw [shift={(-2,-2)},line width=.5pt,color=magenta,fill=magenta,fill opacity=0.11] (0,0) -- (33:0.3) arc (33:72:.4) -- cycle;
\draw [-latex] (0.,0.) -- (1.84,1.24);
\draw [-latex] (0.,0.) -- (0.82,2.54);
\begin{scriptsize}
\draw[color=black] (0.7,0.8) node {$\vec{u}$};
\draw[color=black] (0.3,1.52) node {$\vec{v}$};
%\draw[color=teal] (0.3,0.09) node {$\alpha$};
%\draw[color=red] (0.2,0.2) node {$\beta$};
%\draw[color=blue] (0.2,0.1) node {$\gamma$};
\end{scriptsize}
\end{axis}
\end{tikzpicture}
\end{document}
which renders this:
I know that all three angles have the same center (point [0;0]) but different radius. How can I achieve that? Thanks a lot!