misc

tikz/vector-change-direction/vector-change-direction.tex

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+\documentclass[varwidth=true, border=2pt]{standalone}
+\usepackage{tkz-euclide}
+\usepackage{tikz}
+\usetikzlibrary{shapes, calc, shapes, arrows} 
+\usepackage{amsmath,amssymb}
+
+\usepackage{xcolor}
+\definecolor{xvectorcolor}{HTML}{77933C}
+
+\begin{document}
+\usetkzobj{all}
+\begin{tikzpicture}[font=\boldmath]
+    \large
+
+    % Points
+    \coordinate (A) at (0,0) {};
+    \coordinate (B) at (2,2) {};
+    \coordinate (AB2) at (3,3) {};
+    \coordinate (C) at (5,0) {};
+
+    \node[below of=A,node distance=0.4cm] {$\scriptsize (0, 0)$};
+    \node[left of=B,node distance=0.9cm] {$\scriptsize (x_1, y_1)$};
+    \node[below of=C,node distance=0.4cm] {$\scriptsize (x_2, y_2)$};
+
+    % Draw the angles
+    % angle alpha
+    \draw[fill=green!30] (A) -- (0:0.75cm) arc (0:45:.75cm);
+    \draw (0.45cm,0.17cm) node {$\alpha$};
+
+    % angle beta
+    \tkzMarkAngle[arc=l,size=0.7cm,color=blue,fill=blue!20](A,B,C)
+    %\draw[fill=green!30] (B) -- ($(B)!0.2!(C)$) arc (-35:-132:.75cm);
+    \draw (2.0cm, 1.6cm) node {$\beta$};
+
+    % angle gamma
+    \tkzMarkAngle[arc=l,size=0.7cm,color=red,fill=red!20](C,B,AB2)
+    \draw (2.4cm, 2.0cm) node {$\gamma$};
+
+
+    % Draw the vectors
+    \draw[ultra thick, xvectorcolor, arrows={-latex}]  (A) -- (B);
+    \draw[ultra thick, blue!80,      arrows={-latex}]  (B) -- (C);
+\end{tikzpicture}
+\end{document}