Right-hand rule

Right-hand rule for a general vector product a⨯b:

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% Author: Izaak Neutelings (July 2018)
\documentclass[border=3pt,tikz]{standalone}
\usepackage{tikz}
\usepackage{physics}
\tikzset{>=latex} % for LaTeX arrow head
\usetikzlibrary{angles,quotes} % for pic (angle labels)
\usepackage{xcolor}
\colorlet{pinkskin}{pink!25}
\colorlet{brownskin}{pink!5!brown!45}
\colorlet{myred}{red!90!black}
\colorlet{myblue}{blue!90!black}
\colorlet{mypurple}{blue!50!red!80!black!80}
\colorlet{Bcol}{violet!90}
\colorlet{BFcol}{red!60!black}
\colorlet{veccol}{green!45!black}
\colorlet{Icol}{blue!70!black}
\colorlet{mucol}{red!90!black}
\tikzstyle{BField}=[->,line width=2,Bcol]
\tikzstyle{current}=[->,Icol] %thick,
\tikzstyle{force}=[->,line width=2,BFcol]
\tikzstyle{vector}=[->,line width=2,veccol]
\tikzstyle{thick vector}=[->,line width=2,veccol]
\tikzstyle{mu vector}=[->,line width=2,mucol]
\tikzstyle{velocity}=[->,line width=2,veccol]
\tikzstyle{charge+}=[very thin,draw=black,
top color=red!50,bottom color=red!90!black,shading angle=20,circle,inner sep=0.5]
\begin{document}
\Large
\begin{tikzpicture}
  \coordinate (O) at (1.2,0.3); % ORIGIN
  \coordinate (WT) at ( 2.9,-1.1); % WRIST TOP
  \coordinate (T1) at ( 2.3, 0.7); % THUMB
  \coordinate (T2) at ( 1.75, 2.3);
  \coordinate (T3) at ( 2.0, 3.1);
  \coordinate (T4) at (1.38, 3.15);
  \coordinate (T5) at ( 0.9, 2.3);
  \coordinate (T6) at ( 0.85, 1.2);
  \coordinate (T7) at ( 0.85, 0.2);
  \coordinate (I1) at (-1.0, 2.4); % INDEX
  \coordinate (I2) at (-2.9, 3.45);
  \coordinate (I3) at (-3.3, 2.9);
 
 
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