# How can I draw plot curve with vectors and points using tex

How can I draw this curve with these vectors and points using tex.

• Welcome to TeX.SE! With some effort using tikz, pgfplots or pstricks package ... What you try so far? – Zarko May 4 '20 at 17:20
• I voted to reopen because I don't think the question is a duplicate of the two linked question in the usual definition of duplicate (or even the often slightly broader definition on this site). It's still basically a 'do it for me' question, but ... – moewe May 5 '20 at 7:22

Here is a largely guessed starting point

\documentclass[tikz,margin=3mm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{
compat=1.16,
drawline/.style={-,black},
drawarrows/.style={
stealth-,
blue!50!green,
point meta=rawx,
quiver={
u=-x,
v=-y,
every arrow/.append style={
opacity={
ifthenelse(
(\coordindex==#1 || -1==#1),
\coordindex/\pgfkeysvalueof{/pgfplots/samples},
0
)
},
},
},
mark=*,mark size=1pt,mark options={fill=black,draw=black},
%nodes near coords=\pgfmathprintnumber{\coordindex},
%node near coords style={above,font=\tiny,
%opacity={ifthenelse((\coordindex==#1 || -1==#1),1,0)}},
},
customaxis/.style={
domain=pi/2:4*pi,
samples=200,
width=5cm,
height=5cm,
scale only axis,
axis x line=center,
axis y line=center,
xtick=\empty,
ytick=\empty,
enlargelimits=true,
xlabel={$x$},
ylabel={$y$},
clip=false,
},
}
\begin{document}
\begin{tikzpicture}
\begin{axis}[customaxis]
\end{axis}
\end{tikzpicture}

\begin{tikzpicture}
\begin{axis}[customaxis]
node[below right,pos=0] {$t=-1$}
node[below right,pos=0.2] {$t=0$}
node[above,pos=0.4] {$t=1$}
node[above left,pos=0.6] {$t=2$}
node[above left,pos=0.8] {$t=3$}
node[above,pos=1] {$t=4$};

\end{axis}
\end{tikzpicture}
\end{document}


ADDENDUM Just because it looks nice (my new avatar)

\documentclass[tikz,margin=3mm]{standalone}
\usepackage{pgfplots}
\usepgfplotslibrary{colormaps}
\usetikzlibrary{arrows.meta}
\pgfplotsset{
compat=1.16,
drawarrows/.style={
Circle-,thick,point meta={\pgfkeysvalueof{/pgfplots/samples}-\coordindex},
quiver={u=-x,v=-y,colored=mapped color},
},
customaxis/.style={
domain=9*pi/2:pi/2,
samples=1000,
width=5cm,
height=5cm,
scale only axis,
clip=false,
hide axis,
colormap/hsv,
},
}
\begin{document}
\begin{tikzpicture}
\begin{axis}[customaxis]
\end{axis}
\end{tikzpicture}
\end{document}


• Beautiful looks like a blower. – Sebastiano May 4 '20 at 21:19
• @Sebastiano, thanks, I don't know why I tried with this specific plot, but I kind of like the sooooothness :) – BambOo May 4 '20 at 21:47
• With lot of sincerity....excellent!!! – Sebastiano May 4 '20 at 21:49
• @BambOo very artistic! – JeT May 4 '20 at 23:06
• I cannot compile this document on my computer. It gives error Illegal unit of measure – Rose May 5 '20 at 6:29

tkz-fct is not exactly the ideal tool to do this kind of work but you can try

\documentclass{standalone}
\usepackage{tkz-euclide,tkz-fct}

\begin{document}

\begin{tikzpicture}[scale=1.25]
\tkzInit[xmin=-50,xmax=50,xstep=10,
ymin=-50,ymax=50,ystep=10]
\tkzDefPoint(0,0){O}
\tkzFctPar[smooth,samples=200,domain=0:50]{t*sin(t)}{t*cos(t)}
\foreach \t [count=\i] in {0,10,...,50}{
\def\xt{\t*sin(\t)}
\def\yt{\t*cos(\t)}
\tkzDefPoint(\xt,\yt){a\i}
\tkzDrawPoint(a\i)
\tkzDrawSegment[->](O,a\i)
}
\end{tikzpicture}

\end{document}