<?xml version="1.0" encoding="UTF-8"?>

<record version="5" id="6704">
 <title>right-handed system of vectors</title>
 <name>RightHandedSystemOfVectors</name>
 <created>2005-02-02 18:52:01</created>
 <modified>2007-03-05 02:26:54</modified>
 <type>Definition</type>
<parent id="6178">mutual positions of vectors</parent>
 <creator id="12619" name="juanman"/>
 <author id="2872" name="pahio"/>
 <author id="10074" name="stevecheng"/>
 <classification>
	<category scheme="msc" code="15A72"/>
 </classification>
 <defines>
	<concept>right-handed</concept>
 </defines>
 <synonyms>
	<synonym concept="right-handed system of vectors" alias="dextral system of vectors"/>
 </synonyms>
 <related>
	<object name="Helix"/>
 </related>
 <preamble>% this is the default PlanetMath preamble.  as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.

% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}

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% define commands here</preamble>
 <content>Three ordered non-coplanar vectors $\vec{u}$, $\vec{v}$ and $\vec{w}$, which have a common \PMlinkescapetext{initial point}, are said to form a {\em right-handed} or {\em dextral system} (Latin {\em dexter} = \PMlinkescapetext{`right'}), if a right-threaded screw rotated through an angle less than $180^{\rm{o}}$ from $\vec{u}$ to $\vec{v}$ will advance in the direction of $\vec{w}$.\, For instance, the usual basis vectors $\vec{i}$, $\vec{j}$ and $\vec{k}$ form a dextral system.

\begin{figure}
\begin{center}
\includegraphics{rhs.eps}
\end{center}
\caption{A right-handed system of vectors}
\end{figure}
</content>
</record>
