added vector triangle inequality

tikz/vector-triangle-inequality/Makefile

@@ -0,0 +1,31 @@
+SOURCE = vector-triangle-inequality
+DELAY = 80
+DENSITY = 300
+WIDTH = 500
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux
+
+gif:
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
+	make clean
+
+png:
+	make
+	make svg
+	inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
+
+transparentGif:
+	convert $(SOURCE).pdf -transparent white result.gif
+	make clean
+
+svg:
+	#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
+	pdf2svg $(SOURCE).pdf $(SOURCE).svg
+	# Necessary, as pdf2svg does not always create valid svgs:
+	inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

tikz/vector-triangle-inequality/vector-triangle-inequality.tex

@@ -0,0 +1,23 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+\usepackage{tikz}
+\usetikzlibrary{shapes, calc, shapes, arrows} 
+\usepackage{amsmath,amssymb}
+
+\begin{document}
+\begin{tikzpicture}[]
+    % Punkte
+    \coordinate (A) at (0,0) {};
+    \coordinate (B) at (5,0) {};
+    \coordinate (C) at (2,2) {};
+
+    % Draw the triangle
+    \path[fill=blue!10, fill=blue!10]  (A) -- (B) -- (C) -- (A);
+    \draw[->, very thick,fill=gray!10, green!80, arrows={-latex}]  (A) -- (C) node[sloped,midway,above] {$x$};
+    \draw[->, very thick,fill=gray!10, blue!80, arrows={-latex}]  (C) -- (B) node[sloped,midway,above] {$y$};
+    \draw[->, very thick,fill=gray!10, red!80, arrows={-latex}]  (A) -- (B) node[sloped,midway,above] {$z = x + y$};
+    \coordinate  (A) -- (B) node[sloped,midway,below] {$\|z\| = \|x+y\| \leq \|x\| + \|y\|$};
+
+
+
+\end{tikzpicture}
+\end{document}