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File:Dot product distributive law.svg

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Original file (SVG file, nominally 155 × 120 pixels, file size: 27 KB)

Summary

Description
English: The distributive law for the dot product illustrated.
Date
Source Created using GeoGebra
Author Slawekb

Source code

Here is the PGF/Tikz source code for the file, in case someone wants to edit it in LaTeX:

\documentclass[10pt]{article}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\pagestyle{empty}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(1.58,0.82) rectangle (7.08,5.06);
\draw [->] (2.04,2.56) -- (4.12,4.6);
\draw [->] (4.12,4.6) -- (5.56,3.5);
\draw [->] (2.04,2.56) -- (5.56,3.5);
\draw [->] (2.04,2.56) -- (6.52,2.62);
\draw [dash pattern=on 1pt off 1pt] (4.12,4.6)-- (4.14,2.59);
\draw [dash pattern=on 1pt off 1pt] (5.56,3.5)-- (5.58,2.61);
\draw [dotted] (5.58,2.6)-- (5.82,2.6);
\draw [dotted] (5.82,2.6)-- (5.82,2.84);
\draw [dotted] (5.82,2.84)-- (5.58,2.84);
\draw [dotted] (5.58,2.84)-- (5.58,2.6);
\draw [dotted] (4.12,2.58)-- (4.36,2.58);
\draw [dotted] (4.36,2.58)-- (4.36,2.82);
\draw [dotted] (4.36,2.82)-- (4.12,2.82);
\draw [dotted] (4.12,2.82)-- (4.12,2.58);
\draw (2.64,4.3) node[anchor=north west] {$ \mathbf{B} $};
\draw (5.14,4.5) node[anchor=north west] {$ \mathbf{C} $};
\draw (6.6,3.02) node[anchor=north west] {$\mathbf{A}$};
\draw (3,2.64) node[anchor=north west] {$B_A$};
\draw (4.72,2.7) node[anchor=north west] {$C_A$};
\draw [->] (2.06,1.74) -- (5.58,1.74);
\draw [->] (5.58,1.74) -- (2.06,1.74);
\draw (3.46,1.72) node[anchor=north west] {$ (B+C)_A $};
\draw (3.52,3.72) node[anchor=north west] {$ \mathbf{B}+\mathbf{C} $};
\end{tikzpicture}
\end{document}

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

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depicts

25 November 2012

File history

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Date/TimeThumbnailDimensionsUserComment
current15:13, 25 November 2012Thumbnail for version as of 15:13, 25 November 2012155 × 120 (27 KB)Slawekbminor correction
15:04, 25 November 2012Thumbnail for version as of 15:04, 25 November 2012157 × 109 (27 KB)Slawekb{{subst:Upload marker added by en.wp UW}} {{Information |Description = {{en|The distributive law for the dot product illustrated.}} |Source = Created using GeoGebra |Date = 2012-11-25 |Author = Slawekb }} Category:Euclidean geometry

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