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authorKarl Berry <karl@freefriends.org>2010-04-30 22:55:34 +0000
committerKarl Berry <karl@freefriends.org>2010-04-30 22:55:34 +0000
commit1d9b661b7e4fde87ad720f9b4d23c37652d63548 (patch)
tree4b37ec9e2cb2fd2b57cfd26ff7aa1d32c062601b /Master/texmf-dist/doc/generic/pst-solides3d/doc-src/par-vecteur-en.tex
parent99edb98c9fa6d2c7930c43ad9b653dcb3022b293 (diff)
pst-solides3d 4.19 (30apr10)
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-\section{The object \texttt{vecteur}}
-
-\subsection{Definition with components}
-
-The object \Lkeyword{vecteur} allows us to define a \Index{vector}. The simplest way to do
-that is to use the argument \texttt{\Lkeyword{args}=$x$ $y$ $z$} to specify its \Index{components}.
-
-\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=100}
-\begin{LTXexample}[width=6cm]
-\begin{pspicture*}(-1,-1)(1,2)
-\psSolid[object=vecteur,
- action=draw*,
- args=0 0 1,
- linecolor=yellow]%
-\psSolid[object=vecteur,
- args=1 0 0,
- linecolor=red]
-\psSolid[object=vecteur,
- args=0 0 1,
- linecolor=blue](1,0,0)
-\end{pspicture*}
-\end{LTXexample}
-
-\subsection{Definition with 2 points}
-
-We can also define a vector with 2 given points $A$ and $B$ of $\mathbb{R}^3$.
-
-We then use the arguments \texttt{\Lkeyword{definition}=\Lkeyval{vecteur3d}} and \texttt{\Lkeyword{args}=$x_A$ $y_A$ $z_A$ $x_B$
-$y_B$ $z_B$} where $(x_A, y_A, z_A)$ and $(x_B, y_B, z_B)$ are the appropriate coordinates of the points $A$ and $B$
-
-If the points $A$ and $B$ were already defined, we can easily use the named variables:
-\texttt{\Lkeyword{args}=$A$ $B$}.
-
-\psset{lightsrc=10 -20 50,viewpoint=20 20 20,Decran=20}
-\begin{LTXexample}[width=6cm]
-\begin{pspicture*}(-3,-3)(4.5,2)
-\psSolid[object=plan,
- linecolor=gray,
- definition=equation,
- args={[0 1 1 0]},
- base=-1 3 -2 2,
- planmarks,
- plangrid]
-\psSolid[object=vecteur,
- definition=vecteur3d,
- args=0 0 1 1 1 1]%
-\end{pspicture*}
-\end{LTXexample}
-
-
-\subsection{Some other definitions of a vector}
-
-There are some other possibilities to define a \Index{vector}. Here a list of some
-possible definitions with the appropriate arguments:
-
-\begin{itemize}
-
-\item \texttt{\Lkeyword{definition}=\Lkeyval{addv3d}};
-\texttt{\Lkeyword{args}= $\vec u$ $\vec v$}.
-
-Addition of 2 vectors.
-
-\item \texttt{\Lkeyword{definition}=\Lkeyval{subv3d}};
-\texttt{\Lkeyword{args}= $\vec u$ $\vec v$}.
-
-Difference of 2 vectors.
-
-\item \texttt{\Lkeyword{definition}=\Lkeyval{mulv3d}};
-\texttt{\Lkeyword{args}= $\vec u$ $\lambda $}.
-
-\Index{Multiplication} of a vector with a real.
-
-\item \texttt{\Lkeyword{definition}=\Lkeyval{vectprod3d}};
-\texttt{\Lkeyword{args}= $\vec u$ $\vec v$}.
-
-\Index{Vector product} of 2 vectors.
-
-\item \texttt{\Lkeyword{definition}=\Lkeyval{normalize3d}};
-\texttt{\Lkeyword{args}= $\vec u$}.
-
-\Index{Normalized vector} $\Vert \vec u\Vert ^{-1} \vec u$.
-
-\end{itemize}
-
-\endinput