vector-function

Edit and compile if you like:

\documentclass{article}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{math}
\usepackage{ifthen}
\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\setlength\PreviewBorder{1pt}
%
% File name: vector-function.tex
% Description:
% A geometric representation of a vector function is shown.
%
% Date of creation: October, 15th, 2021.
% Date of last modification: October, 9th, 2022.
% Author: Efraín Soto Apolinar.
% https://www.aprendematematicas.org.mx/author/efrain-soto-apolinar/instructing-courses/
% Source: page 211 of the
% Glosario Ilustrado de Matem\'aticas Escolares.
% https://tinyurl.com/5udm2ufy
%
% Terms of use:
% According to TikZ.net
% https://creativecommons.org/licenses/by-nc-sa/4.0/
% Your commitment to the terms of use is greatly appreciated.
%
\begin{document}
%
\begin{center}
\tdplotsetmaincoords{70}{120}
%
\begin{tikzpicture}[tdplot_main_coords,scale=1.0]
% Component functions of the vector function
\tikzmath{function equis(\t) {return cos((\t) r);};}
\tikzmath{function ye(\t) {return sin((\t) r);};}
\tikzmath{function zeta(\t) {return 0.5+0.25*sqrt(\t)*sin(0.4*\t r);};}
% Evaluated at $t = \tcero$
\pgfmathsetmacro{\tcero}{1.0*pi}
\pgfmathsetmacro{\ti}{0.25}
\pgfmathsetmacro{\tf}{2.0*pi}
\pgfmathsetmacro{\n}{100}
 
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Click to download: vector-function.texvector-function.pdf
Open in Overleaf:
vector-function.tex
See more on the author page of Efraín Soto Apolinar.

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