Right-hand rule for vector product, with examples of the unit vectors of a cartesian coordinate system, the force due to a magnetic field, as well as the rotation vector, angular momentum vector, magnetic momentum and magnetic field due to a current.
Also see other figures under the “vectors” tag: vector sum rule, scalar production, or the divergence and curl of vector fields.
Right-hand rule for a general vector product a⨯b:
Right-handed coordinate system x̂⨯ŷ = ẑ:
Right-handed rule for the magnetic force:
Right-handed rule for the rotation vector:
Right-handed rule for the angular momentum vector:
Right-handed rule for the magnetic momentum vector:
Right-handed rule for the magnetic field lines due to a current-carrying wire:
Edit and compile if you like:
% 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
% RIGHT HAND RULE F = qvxB (brown)
\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);
\coordinate (I4) at (-1.5, 1.8);
\coordinate (I5) at (-0.9, 1.1);
\coordinate (I6) at (-0.9, 0.5);
\coordinate (M1) at (-2.2, 1.25); % MIDDLE
\coordinate (M2) at (-3.9, 1.4);
\coordinate (M3) at (-4.0, 0.8);
\coordinate (M4) at (-2.3, 0.5);
\coordinate (M5) at (-1.1, 0.25);
\coordinate (R1) at (-1.9,-0.1); % RING
\coordinate (R2) at (-1.8,-0.7);
\coordinate (R3) at (-0.3,-1.5);
\coordinate (R4) at ( 0.1,-1.7);
\coordinate (R5) at ( 0.1,-1.0);
\coordinate (R6) at (-0.5,-0.7);
\coordinate (R7) at (-1.2,-0.3);
\coordinate (P1) at (-1.9,-1.3); % PINKY
\coordinate (P2) at (-0.8,-1.9);
\coordinate (P3) at (-0.2,-2.1);
\coordinate (P4) at (-0.05,-1.65);
\coordinate (W1) at ( 0.4,-2.9); % WRIST BOTTOM
\coordinate (W2) at ( 1.6,-3.5);
% HAND
\fill[brownskin]
(WT) -- (T6) -- (I5) -- (M5) -- (R2) -- (P2) -- (W2) to[out=25,in=-90] cycle;
\draw[fill=brownskin]
(WT) to[out=120,in=-60] % THUMB
(T1) to[out=120,in=-90]
(T2) to[out=80,in=-110]
(T3) to[out=80,in=50,looseness=1.5] % tip
(T4) to[out=-130,in=80]
(T5) to[out=-100,in=70]
(T6) to[out=-100,in=100]
(T7)
(T6) to[out=150,in=-30] % INDEX
(I1) to[out=150,in=-30]
(I2) to[out=150,in=145,looseness=1.7] % tip
(I3) to[out=-30,in=150]
(I4) to[out=-30,in=105]
(I5) to[out=-75,in=100]
(I6)
(I5) -- % MIDDLE
(M1) --
(M2) to[out=170,in=180,looseness=1.5] % tip
(M3) to[out=-5,in=175]
(M4) to[out=-5,in=165] % bottom knuckle
(M5)
(M5) to[out=-160,in=50] % RING
(R1) to[out=-130,in=140,looseness=1.2]
(R2) to[out=-30,in=160]
(R3) --
(R4) to[out=-20,in=-20,looseness=1.5] % tip
(R5) --
(R6) to[out=140,in=8,looseness=0.9]
(R7)
(R2) to[out=-160,in=155] % PINKY
(P1) to[out=-35,in=150]
(P2) to[out=-30,in=160]
(P3) to[out=-20,in=-30,looseness=1.5] % tip
%(P4) --
(R4)
(P2) to[out=-50,in=140] % WRIST
(W1) to[out=-40,in=160]
(W2);
% FOLDS
\draw[very thin] (T5)++(-80:0.3) to[out=40,in=180]++ (25:0.45);
\draw[very thin] (I1)++(180:0.2) to[out=-160,in=100]++ (-130:0.6);
\draw[very thin] (I1)++(155:1.3) to[out=-160,in=90]++ (-135:0.55);
\draw[very thin] (M4)++(140:0.1) to[out=110,in=-140]++ (80:0.6);
\draw[very thin] (M3)++(-5:0.6) to[out=100,in=-130]++ (80:0.5);
\draw[very thin] (M5)++(-140:0.1) to[out=-20,in=90]++ (-54:0.8); % RING
\draw[very thin] (R6) to[out=160,in=10]++ (180:0.2);
\draw[very thin] (R3)++(155:0.5) to[out=120,in=-100]++ (100:0.2);
\draw[very thin] (P2)++(140:0.1) to[out=95,in=-110]++ (80:0.4);
%\draw[very thin] (P1)++( 10:0.04) to[out=95,in=-130]++ (70:0.4);
\draw[very thin] (I5)++(-40:0.45) to[out=-70,in=90]++ (-70:1.7); % PALM
\draw[very thin] (P3)++(-155:0.05) to[out=-120,in=40]++ (-130:0.2); % PALM
\draw[very thin] (W2)++(80:1.3) to[out=-180,in=-50]++ (160:1.2); % PALM
% VECTORS
\draw[thick vector,mypurple]
(O) --++ (85:3.4)
node[above,scale=1.5] {${\color{myblue}\vb{a}} \times {\color{myred}\vb{b}}$};
\draw[thick vector,myblue]
(O) --++ (145:3.7) coordinate (A)
node[above=2,left=-7,scale=1.5] {$\vb{a}$};
\draw[thick vector,myred]
(O) --++ (172:3.7) coordinate (B)
node[above=4,left=-5,scale=1.5] {$\vb{b}$};
\draw pic[->,"\huge$\theta$",draw=black,thick,angle radius=35,angle eccentricity=1.24] {angle = A--O--B};
% HELP LINES
% \foreach \i in {0,...,4}{
% \draw[very thin,red!10] (-4.5, \i) -- (4, \i);
% \draw[very thin,red!10] (-4.5,-\i) -- (4,-\i);
% \draw[very thin,red!10] (\i,-4) -- (\i,4);
% \draw[very thin,red!10] (-\i,-4) -- (-\i,4);
% }
% \node[blue,scale=0.4] at (T1) {T1};
% \node[blue,scale=0.4] at (T2) {T2};
% \node[blue,scale=0.4] at (T3) {T3};
% \node[blue,scale=0.4] at (T4) {T4};
% \node[blue,scale=0.4] at (T5) {T5};
% \node[blue,scale=0.4] at (T6) {T6};
% \node[blue,scale=0.4] at (T7) {T7};
% \node[blue,scale=0.4] at (I1) {I1};
% \node[blue,scale=0.4] at (I2) {I2};
% \node[blue,scale=0.4] at (I3) {I3};
% \node[blue,scale=0.4] at (I4) {I4};
% \node[blue,scale=0.4] at (I5) {I5};
% \node[blue,scale=0.4] at (M1) {M1};
% \node[blue,scale=0.4] at (M2) {M2};
% \node[blue,scale=0.4] at (M3) {M3};
% \node[blue,scale=0.4] at (M4) {M4};
% \node[blue,scale=0.4] at (M5) {M5};
% \node[blue,scale=0.4] at (R1) {R1};
% \node[blue,scale=0.4] at (R2) {R2};
% \node[blue,scale=0.4] at (R3) {R3};
% \node[blue,scale=0.4] at (R4) {R4};
% \node[blue,scale=0.4] at (R5) {R5};
% \node[blue,scale=0.4] at (R6) {R6};
% \node[blue,scale=0.4] at (R7) {R7};
% \node[blue,scale=0.4] at (P1) {P1};
% \node[blue,scale=0.4] at (P2) {P2};
% \node[blue,scale=0.4] at (P3) {P3};
% %\node[blue,scale=0.4] at (P4) {P4};
% \node[blue,scale=0.4] at (W1) {W1};
% \node[blue,scale=0.4] at (W2) {W2};
\end{tikzpicture}
% RIGHT HAND RULE xyz
\begin{tikzpicture}
\coordinate (O) at (1.0,0.7); % 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 (-1.1, 2.45); % INDEX
\coordinate (I2) at (-2.9, 3.45);
\coordinate (I3) at (-3.3, 2.9);
\coordinate (I4) at (-1.5, 1.8);
\coordinate (I5) at (-0.9, 1.1);
\coordinate (I6) at (-0.9, 0.3);
\coordinate (M1) at (-2.1, 0.9); % MIDDLE
\coordinate (M2) at (-3.95,0.55);
\coordinate (M3) at (-4.0,-0.15);
\coordinate (M4) at (-2.3, 0.05);
\coordinate (M5) at (-1.1, 0.20);
\coordinate (R1) at (-1.9,-0.1); % RING
\coordinate (R2) at (-1.8,-0.7);
\coordinate (R3) at (-0.3,-1.5);
\coordinate (R4) at ( 0.1,-1.7);
\coordinate (R5) at ( 0.1,-1.0);
\coordinate (R6) at (-0.5,-0.7);
\coordinate (R7) at (-1.2,-0.3);
\coordinate (P1) at (-1.9,-1.3); % PINKY
\coordinate (P2) at (-0.8,-1.9);
\coordinate (P3) at (-0.2,-2.1);
\coordinate (P4) at (-0.05,-1.65);
\coordinate (W1) at ( 0.4,-2.9); % WRIST BOTTOM
\coordinate (W2) at ( 1.6,-3.5);
% HAND
\fill[pinkskin]
(WT) -- (T6) -- (I5) -- (M5) -- (R2) -- (P2) -- (W2) to[out=25,in=-90] cycle;
\draw[fill=pinkskin]
(WT) to[out=120,in=-60] % THUMB
(T1) to[out=120,in=-90]
(T2) to[out=80,in=-110]
(T3) to[out=80,in=50,looseness=1.5] % tip
(T4) to[out=-130,in=80]
(T5) to[out=-100,in=70]
(T6) to[out=-100,in=100]
(T7)
(T6) to[out=150,in=-30] % INDEX
(I1) to[out=150,in=-30]
(I2) to[out=150,in=145,looseness=1.7] % tip
(I3) to[out=-30,in=150]
(I4) to[out=-30,in=105]
(I5) to[out=-75,in=90]
(I6)
(I5) to[out=-170,in=10] % MIDDLE
(M1) to[out=-170,in=10]
(M2) to[out=-170,in=-175,looseness=1.8] % tip
(M3) to[out=5,in=-170]
(M4) to[out=10,in=-170] % bottom knuckle
(M5)
(M5) to[out=-160,in=50] % RING
(R1) to[out=-130,in=140,looseness=1.2]
(R2) to[out=-30,in=160]
(R3) --
(R4) to[out=-20,in=-20,looseness=1.5] % tip
(R5) --
(R6) to[out=140,in=8,looseness=0.9]
(R7)
(R2) to[out=-160,in=155] % PINKY
(P1) to[out=-35,in=150]
(P2) to[out=-30,in=160]
(P3) to[out=-20,in=-30,looseness=1.5] % tip
%(P4) --
(R4)
(P2) to[out=-50,in=140] % WRIST
(W1) to[out=-40,in=160]
(W2);
% FOLDS
\draw[very thin] (T5)++(-80:0.3) to[out=40,in=180]++ (25:0.45); % THUMB
\draw[very thin] (I1)++(180:0.2) to[out=-160,in=90]++ (-130:0.6); % INDEX
\draw[very thin] (I1)++(155:1.3) to[out=-150,in=80]++ (-130:0.55);
\draw[very thin] (M4)++(30:0.2) to[out=80,in=-65]++ (95:0.5); % MIDDLE FINGER
\draw[very thin] (M3)++(10:0.8) to[out=80,in=-75]++ (90:0.45);
\draw[very thin] (M5)++(-140:0.1) to[out=-20,in=90]++ (-54:0.8); % RING
\draw[very thin] (R6) to[out=160,in=10]++ (180:0.2);
\draw[very thin] (R3)++(155:0.5) to[out=120,in=-100]++ (100:0.2);
\draw[very thin] (P2)++(140:0.1) to[out=95,in=-110]++ (80:0.4); % PINKY
%\draw[very thin] (P1)++( 10:0.04) to[out=95,in=-130]++ (70:0.4);
\draw[very thin] (I5)++(-40:0.45) to[out=-70,in=90]++ (-70:1.7); % PALM
\draw[very thin] (P3)++(-155:0.05) to[out=-120,in=40]++ (-130:0.2); % PALM
\draw[very thin] (W2)++(70:1.4) to[out=-175,in=-40]++ (160:1.4); % PALM
% VECTORS
\def\R{0.32}
\draw[thick vector]
(O) --++ (148:3.3) coordinate (X) node[above=6,left=-6,scale=1.5] {$\vu{x}$};
\draw[thick vector,<->]
(O) ++ (-172:3.25) coordinate (Y) node[above=5,left=-6,scale=1.5] {$\vu{y}$} --
(O) --++ (82:3.2) node[above=-1,scale=1.5] {$\vu{z}$};
\draw pic[->,draw=black,thick,angle radius=30,angle eccentricity=1.2] {angle = X--O--Y};
\end{tikzpicture}
% RIGHT HAND RULE: F = qvxB
\begin{tikzpicture}
\coordinate (O) at (1.0,0.7); % 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 (-1.1, 2.45); % INDEX
\coordinate (I2) at (-2.9, 3.45);
\coordinate (I3) at (-3.3, 2.9);
\coordinate (I4) at (-1.5, 1.8);
\coordinate (I5) at (-0.9, 1.1);
\coordinate (I6) at (-0.9, 0.3);
\coordinate (M1) at (-2.1, 0.9); % MIDDLE
\coordinate (M2) at (-3.95,0.55);
\coordinate (M3) at (-4.0,-0.15);
\coordinate (M4) at (-2.3, 0.05);
\coordinate (M5) at (-1.1, 0.20);
\coordinate (R1) at (-1.9,-0.1); % RING
\coordinate (R2) at (-1.8,-0.7);
\coordinate (R3) at (-0.3,-1.5);
\coordinate (R4) at ( 0.1,-1.7);
\coordinate (R5) at ( 0.1,-1.0);
\coordinate (R6) at (-0.5,-0.7);
\coordinate (R7) at (-1.2,-0.3);
\coordinate (P1) at (-1.9,-1.3); % PINKY
\coordinate (P2) at (-0.8,-1.9);
\coordinate (P3) at (-0.2,-2.1);
\coordinate (P4) at (-0.05,-1.65);
\coordinate (W1) at ( 0.4,-2.9); % WRIST BOTTOM
\coordinate (W2) at ( 1.6,-3.5);
% HAND
\fill[pinkskin]
(WT) -- (T6) -- (I5) -- (M5) -- (R2) -- (P2) -- (W2) to[out=25,in=-90] cycle;
\draw[fill=pinkskin]
(WT) to[out=120,in=-60] % THUMB
(T1) to[out=120,in=-90]
(T2) to[out=80,in=-110]
(T3) to[out=80,in=50,looseness=1.5] % tip
(T4) to[out=-130,in=80]
(T5) to[out=-100,in=70]
(T6) to[out=-100,in=100]
(T7)
(T6) to[out=150,in=-30] % INDEX
(I1) to[out=150,in=-30]
(I2) to[out=150,in=145,looseness=1.7] % tip
(I3) to[out=-30,in=150]
(I4) to[out=-30,in=105]
(I5) to[out=-75,in=90]
(I6)
(I5) to[out=-170,in=10] % MIDDLE
(M1) to[out=-170,in=10]
(M2) to[out=-170,in=-175,looseness=1.8] % tip
(M3) to[out=5,in=-170]
(M4) to[out=10,in=-170] % bottom knuckle
(M5)
(M5) to[out=-160,in=50] % RING
(R1) to[out=-130,in=140,looseness=1.2]
(R2) to[out=-30,in=160]
(R3) --
(R4) to[out=-20,in=-20,looseness=1.5] % tip
(R5) --
(R6) to[out=140,in=8,looseness=0.9]
(R7)
(R2) to[out=-160,in=155] % PINKY
(P1) to[out=-35,in=150]
(P2) to[out=-30,in=160]
(P3) to[out=-20,in=-30,looseness=1.5] % tip
%(P4) --
(R4)
(P2) to[out=-50,in=140] % WRIST
(W1) to[out=-40,in=160]
(W2);
% FOLDS
\draw[very thin] (T5)++(-80:0.3) to[out=40,in=180]++ (25:0.45); % THUMB
\draw[very thin] (I1)++(180:0.2) to[out=-160,in=90]++ (-130:0.6); % INDEX
\draw[very thin] (I1)++(155:1.3) to[out=-150,in=80]++ (-130:0.55);
\draw[very thin] (M4)++(30:0.2) to[out=80,in=-65]++ (95:0.5); % MIDDLE FINGER
\draw[very thin] (M3)++(10:0.8) to[out=80,in=-75]++ (90:0.45);
\draw[very thin] (M5)++(-140:0.1) to[out=-20,in=90]++ (-54:0.8); % RING
\draw[very thin] (R6) to[out=160,in=10]++ (180:0.2);
\draw[very thin] (R3)++(155:0.5) to[out=120,in=-100]++ (100:0.2);
\draw[very thin] (P2)++(140:0.1) to[out=95,in=-110]++ (80:0.4); % PINKY
%\draw[very thin] (P1)++( 10:0.04) to[out=95,in=-130]++ (70:0.4);
\draw[very thin] (I5)++(-40:0.45) to[out=-70,in=90]++ (-70:1.7); % PALM
\draw[very thin] (P3)++(-155:0.05) to[out=-120,in=40]++ (-130:0.2); % PALM
\draw[very thin] (W2)++(70:1.4) to[out=-175,in=-40]++ (160:1.4); % PALM
% VECTORS
\def\R{0.32}
\draw[force]
(O) --++ (82:3.2)
node[above,scale=1.5] {$\vb{F} \color{black} = q {\color{veccol}\vb{v}} \times {\color{Bcol}\vb{B}}$};
\draw[velocity]
(O) --++ (148:3.3) coordinate (V)
node[above=2,left=-6,scale=1.5] {$\vb{v}$};
\draw[charge+] (O) circle (\R) node[scale=1.4] {$+$};
\draw[BField]
(O)++(-172:0.7*\R) --++ (-172:3.25) coordinate (B)
node[above=4,left=-6,scale=1.5] {$\vb{B}$};
\draw pic[->,"\huge$\theta$",draw=black,thick,angle radius=28,angle eccentricity=1.26] {angle = V--O--B};
% % HELP LINES
% \foreach \i in {0,...,4}{
% \draw[very thin,red!10] (-4.5, \i) -- (4, \i);
% \draw[very thin,red!10] (-4.5,-\i) -- (4,-\i);
% \draw[very thin,red!10] (\i,-4) -- (\i,4);
% \draw[very thin,red!10] (-\i,-4) -- (-\i,4);
% }
% \node[blue,scale=0.4] at (T1) {T1};
% \node[blue,scale=0.4] at (T2) {T2};
% \node[blue,scale=0.4] at (T3) {T3};
% \node[blue,scale=0.4] at (T4) {T4};
% \node[blue,scale=0.4] at (T5) {T5};
% \node[blue,scale=0.4] at (T6) {T6};
% \node[blue,scale=0.4] at (T7) {T7};
% \node[blue,scale=0.4] at (I1) {I1};
% \node[blue,scale=0.4] at (I2) {I2};
% \node[blue,scale=0.4] at (I3) {I3};
% \node[blue,scale=0.4] at (I4) {I4};
% \node[blue,scale=0.4] at (I5) {I5};
% \node[blue,scale=0.4] at (M1) {M1};
% \node[blue,scale=0.4] at (M2) {M2};
% \node[blue,scale=0.4] at (M3) {M3};
% \node[blue,scale=0.4] at (M4) {M4};
% \node[blue,scale=0.4] at (M5) {M5};
% \node[blue,scale=0.4] at (R1) {R1};
% \node[blue,scale=0.4] at (R2) {R2};
% \node[blue,scale=0.4] at (R3) {R3};
% \node[blue,scale=0.4] at (R4) {R4};
% \node[blue,scale=0.4] at (R5) {R5};
% \node[blue,scale=0.4] at (R6) {R6};
% \node[blue,scale=0.4] at (R7) {R7};
% \node[blue,scale=0.4] at (P1) {P1};
% \node[blue,scale=0.4] at (P2) {P2};
% \node[blue,scale=0.4] at (P3) {P3};
% %\node[blue,scale=0.4] at (P4) {P4};
% \node[blue,scale=0.4] at (W1) {W1};
% \node[blue,scale=0.4] at (W2) {W2};
\end{tikzpicture}
% RIGHT HAND RULE F = qvxB (brown)
\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);
\coordinate (I4) at (-1.5, 1.8);
\coordinate (I5) at (-0.9, 1.1);
\coordinate (I6) at (-0.9, 0.5);
\coordinate (M1) at (-2.2, 1.25); % MIDDLE
\coordinate (M2) at (-3.9, 1.4);
\coordinate (M3) at (-4.0, 0.8);
\coordinate (M4) at (-2.3, 0.5);
\coordinate (M5) at (-1.1, 0.25);
\coordinate (R1) at (-1.9,-0.1); % RING
\coordinate (R2) at (-1.8,-0.7);
\coordinate (R3) at (-0.3,-1.5);
\coordinate (R4) at ( 0.1,-1.7);
\coordinate (R5) at ( 0.1,-1.0);
\coordinate (R6) at (-0.5,-0.7);
\coordinate (R7) at (-1.2,-0.3);
\coordinate (P1) at (-1.9,-1.3); % PINKY
\coordinate (P2) at (-0.8,-1.9);
\coordinate (P3) at (-0.2,-2.1);
\coordinate (P4) at (-0.05,-1.65);
\coordinate (W1) at ( 0.4,-2.9); % WRIST BOTTOM
\coordinate (W2) at ( 1.6,-3.5);
% HAND
\fill[brownskin]
(WT) -- (T6) -- (I5) -- (M5) -- (R2) -- (P2) -- (W2) to[out=25,in=-90] cycle;
\draw[fill=brownskin]
(WT) to[out=120,in=-60] % THUMB
(T1) to[out=120,in=-90]
(T2) to[out=80,in=-110]
(T3) to[out=80,in=50,looseness=1.5] % tip
(T4) to[out=-130,in=80]
(T5) to[out=-100,in=70]
(T6) to[out=-100,in=100]
(T7)
(T6) to[out=150,in=-30] % INDEX
(I1) to[out=150,in=-30]
(I2) to[out=150,in=145,looseness=1.7] % tip
(I3) to[out=-30,in=150]
(I4) to[out=-30,in=105]
(I5) to[out=-75,in=100]
(I6)
(I5) -- % MIDDLE
(M1) --
(M2) to[out=170,in=180,looseness=1.5] % tip
(M3) to[out=-5,in=175]
(M4) to[out=-5,in=165] % bottom knuckle
(M5)
(M5) to[out=-160,in=50] % RING
(R1) to[out=-130,in=140,looseness=1.2]
(R2) to[out=-30,in=160]
(R3) --
(R4) to[out=-20,in=-20,looseness=1.5] % tip
(R5) --
(R6) to[out=140,in=8,looseness=0.9]
(R7)
(R2) to[out=-160,in=155] % PINKY
(P1) to[out=-35,in=150]
(P2) to[out=-30,in=160]
(P3) to[out=-20,in=-30,looseness=1.5] % tip
%(P4) --
(R4)
(P2) to[out=-50,in=140] % WRIST
(W1) to[out=-40,in=160]
(W2);
% FOLDS
\draw[very thin] (T5)++(-80:0.3) to[out=40,in=180]++ (25:0.45);
\draw[very thin] (I1)++(180:0.2) to[out=-160,in=100]++ (-130:0.6);
\draw[very thin] (I1)++(155:1.3) to[out=-160,in=90]++ (-135:0.55);
\draw[very thin] (M4)++(140:0.1) to[out=110,in=-140]++ (80:0.6);
\draw[very thin] (M3)++(-5:0.6) to[out=100,in=-130]++ (80:0.5);
\draw[very thin] (M5)++(-140:0.1) to[out=-20,in=90]++ (-54:0.8); % RING
\draw[very thin] (R6) to[out=160,in=10]++ (180:0.2);
\draw[very thin] (R3)++(155:0.5) to[out=120,in=-100]++ (100:0.2);
\draw[very thin] (P2)++(140:0.1) to[out=95,in=-110]++ (80:0.4);
%\draw[very thin] (P1)++( 10:0.04) to[out=95,in=-130]++ (70:0.4);
\draw[very thin] (I5)++(-40:0.45) to[out=-70,in=90]++ (-70:1.7); % PALM
\draw[very thin] (P3)++(-155:0.05) to[out=-120,in=40]++ (-130:0.2); % PALM
\draw[very thin] (W2)++(80:1.3) to[out=-180,in=-50]++ (160:1.2); % PALM
% VECTORS
\draw[force]
(O) --++ (85:3.4)
node[above,scale=1.5] {$\vb{F} \color{black} = q {\color{veccol}\vb{v}} \times {\color{Bcol}\vb{B}}$};
\draw[velocity,very thick]
(O) --++ (145:3.7) coordinate (V)
node[above=2,left=-7,scale=1.5] {$\vb{v}$};
\draw[BField]
(O) --++ (172:3.7) coordinate (B)
node[above=4,left=-5,scale=1.5] {$\vb{B}$};
\draw pic[->,"\huge$\theta$",draw=black,thick,angle radius=35,angle eccentricity=1.24] {angle = V--O--B};
% HELP LINES
% \foreach \i in {0,...,4}{
% \draw[very thin,red!10] (-4.5, \i) -- (4, \i);
% \draw[very thin,red!10] (-4.5,-\i) -- (4,-\i);
% \draw[very thin,red!10] (\i,-4) -- (\i,4);
% \draw[very thin,red!10] (-\i,-4) -- (-\i,4);
% }
% \node[blue,scale=0.4] at (T1) {T1};
% \node[blue,scale=0.4] at (T2) {T2};
% \node[blue,scale=0.4] at (T3) {T3};
% \node[blue,scale=0.4] at (T4) {T4};
% \node[blue,scale=0.4] at (T5) {T5};
% \node[blue,scale=0.4] at (T6) {T6};
% \node[blue,scale=0.4] at (T7) {T7};
% \node[blue,scale=0.4] at (I1) {I1};
% \node[blue,scale=0.4] at (I2) {I2};
% \node[blue,scale=0.4] at (I3) {I3};
% \node[blue,scale=0.4] at (I4) {I4};
% \node[blue,scale=0.4] at (I5) {I5};
% \node[blue,scale=0.4] at (M1) {M1};
% \node[blue,scale=0.4] at (M2) {M2};
% \node[blue,scale=0.4] at (M3) {M3};
% \node[blue,scale=0.4] at (M4) {M4};
% \node[blue,scale=0.4] at (M5) {M5};
% \node[blue,scale=0.4] at (R1) {R1};
% \node[blue,scale=0.4] at (R2) {R2};
% \node[blue,scale=0.4] at (R3) {R3};
% \node[blue,scale=0.4] at (R4) {R4};
% \node[blue,scale=0.4] at (R5) {R5};
% \node[blue,scale=0.4] at (R6) {R6};
% \node[blue,scale=0.4] at (R7) {R7};
% \node[blue,scale=0.4] at (P1) {P1};
% \node[blue,scale=0.4] at (P2) {P2};
% \node[blue,scale=0.4] at (P3) {P3};
% %\node[blue,scale=0.4] at (P4) {P4};
% \node[blue,scale=0.4] at (W1) {W1};
% \node[blue,scale=0.4] at (W2) {W2};
\end{tikzpicture}
% RIGHT HAND RULE - angular momentum
\begin{tikzpicture}
\coordinate (O) at (1.1,0.2); % 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 ( 0.9, 0.2);
\coordinate (I1) at (-0.1, 1.4); % INDEX
\coordinate (I2) at (-1.3, 1.2);
\coordinate (I3) at (-1.6, 0.5);
\coordinate (I4) at (-0.7,-0.4);
\coordinate (I5) at ( 0.1,-0.6);
\coordinate (I6) at ( 0.1,-0.05);
\coordinate (I7) at (-0.4,0.19);
\coordinate (I8) at (-1.0, 0.9);
\coordinate (M1) at (-1.8,-0.1); % MIDDLE
%\coordinate (M2) at (-0.5,-0.7);
\coordinate (M2) at (-0.8,-1.0);
\coordinate (M3) at ( 0.1,-1.15);
\coordinate (R1) at (-1.8,-0.8); % RING
\coordinate (R2) at (-0.9,-1.6);
\coordinate (R3) at (-0.0,-1.7);
\coordinate (R4) at ( 0.0,-1.1);
\coordinate (P1) at (-1.9,-1.4); % PINKY
\coordinate (P2) at (-1.0,-2.1);
\coordinate (P3) at (-0.3,-2.15);
\coordinate (W1) at ( 0.4,-2.9); % WRIST BOTTOM
\coordinate (W2) at ( 1.6,-3.5);
% HAND
\fill[pinkskin]
(WT) -- (T6) -- (I2) -- (P2) -- (W1) -- (W2) to[out=25,in=-90] cycle;
\draw[fill=pinkskin]
(WT) to[out=120,in=-60] % THUMB
(T1) to[out=120,in=-90]
(T2) to[out=80,in=-110]
(T3) to[out=80,in=50,looseness=1.5] % tip
(T4) to[out=-130,in=80]
(T5) to[out=-100,in=70]
(T6) to[out=-100,in=100]
(T7)
(T6) -- % INDEX
(I1) to[out=170,in=15]
(I2) to[out=-165,in=140,looseness=1.2] % knuckle
(I3) to[out=-60,in=140,looseness=0.8]
(I4) to[out=-40,in=180,looseness=0.4]
(I5) to[out=20,in=-30,looseness=1.3] % tip
(I6) to[out=150,in=-20]
(I7) to[out=120,in=-30]
(I8)
(I7) to[out=160,in=-15]++ (162:0.18)
(I3) to[out=180,in=140,looseness=0.9] % MIDDLE
(M1) to[out=-60,in=150,looseness=0.8]
(M2) to[out=-30,in=175,looseness=0.4]
(M3) to[out=-5,in=-15,looseness=1.5] % tip
(I5)
(M1) to[out=-130,in=135,looseness=1.2] % knuckle
(R1) to[out=-45,in=160,looseness=0.9]
(R2) to[out=-20,in=180,looseness=0.4]
(R3) to[out=0,in=-15,looseness=1.5] % tip
(M3)
(R1) to[out=-150,in=130] % PINKY
(P1) to[out=-50,in=165]
(P2) to[out=-15,in=180,looseness=0.9]
(P3) to[out=0,in=-35,looseness=1.5] % tip
(R3)
(P2) to[out=-35,in=145] % WRIST
(W1) to[out=-35,in=160]
(W2);
% FOLDS
\draw[very thin] (T5)++(-80:0.3) to[out=40,in=180]++ (25:0.45); % THUMB
\draw[very thin] (I4)++(135:0.1) to[out=100,in=-110]++ (80:0.4); % INDEX
\draw[very thin] (M2)++(130:0.1) to[out=100,in=-110]++ (80:0.4); % MIDDLE
\draw[very thin] (R2)++(140:0.1) to[out=95,in=-110]++ (80:0.4); % RING
\draw[very thin] (P2)++(145:0.1) to[out=95,in=-110]++ (85:0.4); % PINKY
\draw[very thin] (I8)++(-33:0.55) to[out=50,in=-90]++ (70:0.6); % PALM
\draw[very thin] (I7)++(-5:0.2) to[out=70,in=-80]++ (80:1.1); % PALM
\draw[very thin] (W2)++(70:1.4) to[out=-175,in=-40]++ (160:1.4); % PALM
% VECTORS
\def\Rx{2.4}
\def\Ry{0.7}
\draw[very thick,dash pattern=on 8pt off 8pt,line cap=round]
(O)++(-108.5:3.6) --++ (78:7.1);
\draw[vector]
(O)++(125:0.77) --++ (78:2.7)
node[midway,above=10,left=-3,scale=1.5] {$\vb*{\omega}$};
\draw[->,very thick,rotate=-15]
(O)++(-250:{\Rx} and {\Ry}) arc (-250:-80:{\Rx} and {\Ry})
node[below=-1,scale=1.5] {$\omega$};
\end{tikzpicture}
% RIGHT HAND RULE - angular momentum
\begin{tikzpicture}
\coordinate (O) at (1.1,0.2); % 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 ( 0.9, 0.2);
\coordinate (I1) at (-0.1, 1.4); % INDEX
\coordinate (I2) at (-1.3, 1.2);
\coordinate (I3) at (-1.6, 0.5);
\coordinate (I4) at (-0.7,-0.4);
\coordinate (I5) at ( 0.1,-0.6);
\coordinate (I6) at ( 0.1,-0.05);
\coordinate (I7) at (-0.4,0.19);
\coordinate (I8) at (-1.0, 0.9);
\coordinate (M1) at (-1.8,-0.1); % MIDDLE
%\coordinate (M2) at (-0.5,-0.7);
\coordinate (M2) at (-0.8,-1.0);
\coordinate (M3) at ( 0.1,-1.15);
\coordinate (R1) at (-1.8,-0.8); % RING
\coordinate (R2) at (-0.9,-1.6);
\coordinate (R3) at (-0.0,-1.7);
\coordinate (R4) at ( 0.0,-1.1);
\coordinate (P1) at (-1.9,-1.4); % PINKY
\coordinate (P2) at (-1.0,-2.1);
\coordinate (P3) at (-0.3,-2.15);
\coordinate (W1) at ( 0.4,-2.9); % WRIST BOTTOM
\coordinate (W2) at ( 1.6,-3.5);
% HAND
\fill[pinkskin]
(WT) -- (T6) -- (I2) -- (P2) -- (W1) -- (W2) to[out=25,in=-90] cycle;
\draw[fill=pinkskin]
(WT) to[out=120,in=-60] % THUMB
(T1) to[out=120,in=-90]
(T2) to[out=80,in=-110]
(T3) to[out=80,in=50,looseness=1.5] % tip
(T4) to[out=-130,in=80]
(T5) to[out=-100,in=70]
(T6) to[out=-100,in=100]
(T7)
(T6) -- % INDEX
(I1) to[out=170,in=15]
(I2) to[out=-165,in=140,looseness=1.2] % knuckle
(I3) to[out=-60,in=140,looseness=0.8]
(I4) to[out=-40,in=180,looseness=0.4]
(I5) to[out=20,in=-30,looseness=1.3] % tip
(I6) to[out=150,in=-20]
(I7) to[out=120,in=-30]
(I8)
(I7) to[out=160,in=-15]++ (162:0.18)
(I3) to[out=180,in=140,looseness=0.9] % MIDDLE
(M1) to[out=-60,in=150,looseness=0.8]
(M2) to[out=-30,in=175,looseness=0.4]
(M3) to[out=-5,in=-15,looseness=1.5] % tip
(I5)
(M1) to[out=-130,in=135,looseness=1.2] % knuckle
(R1) to[out=-45,in=160,looseness=0.9]
(R2) to[out=-20,in=180,looseness=0.4]
(R3) to[out=0,in=-15,looseness=1.5] % tip
(M3)
(R1) to[out=-150,in=130] % PINKY
(P1) to[out=-50,in=165]
(P2) to[out=-15,in=180,looseness=0.9]
(P3) to[out=0,in=-35,looseness=1.5] % tip
(R3)
(P2) to[out=-35,in=145] % WRIST
(W1) to[out=-35,in=160]
(W2);
% FOLDS
\draw[very thin] (T5)++(-80:0.3) to[out=40,in=180]++ (25:0.45); % THUMB
\draw[very thin] (I4)++(135:0.1) to[out=100,in=-110]++ (80:0.4); % INDEX
\draw[very thin] (M2)++(130:0.1) to[out=100,in=-110]++ (80:0.4); % MIDDLE
\draw[very thin] (R2)++(140:0.1) to[out=95,in=-110]++ (80:0.4); % RING
\draw[very thin] (P2)++(145:0.1) to[out=95,in=-110]++ (85:0.4); % PINKY
\draw[very thin] (I8)++(-33:0.55) to[out=50,in=-90]++ (70:0.6); % PALM
\draw[very thin] (I7)++(-5:0.2) to[out=70,in=-80]++ (80:1.1); % PALM
\draw[very thin] (W2)++(70:1.4) to[out=-175,in=-40]++ (160:1.4); % PALM
% VECTORS
\def\Rx{2.4}
\def\Ry{0.7}
\draw[very thick,dash pattern=on 8pt off 8pt,line cap=round]
(O)++(-108.5:3.6) --++ (78:7.1);
\draw[vector]
(O)++(125:0.77) --++ (78:2.7)
node[midway,above=10,left=-3,scale=1.5] {$\vb{L} = I\vb*{\omega}$};
\draw[->,very thick,rotate=-15]
(O)++(-250:{\Rx} and {\Ry}) arc (-250:-80:{\Rx} and {\Ry})
node[below=-1,scale=1.5] {$\omega$};
\end{tikzpicture}
% RIGHT HAND RULE - magnetic moment
\begin{tikzpicture}
\coordinate (O) at (1.1,0.2); % 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 ( 0.9, 0.2);
\coordinate (I1) at (-0.1, 1.4); % INDEX
\coordinate (I2) at (-1.3, 1.2);
\coordinate (I3) at (-1.6, 0.5);
\coordinate (I4) at (-0.7,-0.4);
\coordinate (I5) at ( 0.1,-0.6);
\coordinate (I6) at ( 0.1,-0.05);
\coordinate (I7) at (-0.4,0.19);
\coordinate (I8) at (-1.0, 0.9);
\coordinate (M1) at (-1.8,-0.1); % MIDDLE
%\coordinate (M2) at (-0.5,-0.7);
\coordinate (M2) at (-0.8,-1.0);
\coordinate (M3) at ( 0.1,-1.15);
\coordinate (R1) at (-1.8,-0.8); % RING
\coordinate (R2) at (-0.9,-1.6);
\coordinate (R3) at (-0.0,-1.7);
\coordinate (R4) at ( 0.0,-1.1);
\coordinate (P1) at (-1.9,-1.4); % PINKY
\coordinate (P2) at (-1.0,-2.1);
\coordinate (P3) at (-0.3,-2.15);
\coordinate (W1) at ( 0.4,-2.9); % WRIST BOTTOM
\coordinate (W2) at ( 1.6,-3.5);
% HAND
\fill[brownskin]
(WT) -- (T6) -- (I2) -- (P2) -- (W1) -- (W2) to[out=25,in=-90] cycle;
\draw[fill=brownskin]
(WT) to[out=120,in=-60] % THUMB
(T1) to[out=120,in=-90]
(T2) to[out=80,in=-110]
(T3) to[out=80,in=50,looseness=1.5] % tip
(T4) to[out=-130,in=80]
(T5) to[out=-100,in=70]
(T6) to[out=-100,in=100]
(T7)
(T6) -- % INDEX
(I1) to[out=170,in=15]
(I2) to[out=-165,in=140,looseness=1.2] % knuckle
(I3) to[out=-60,in=140,looseness=0.8]
(I4) to[out=-40,in=180,looseness=0.4]
(I5) to[out=20,in=-30,looseness=1.3] % tip
(I6) to[out=150,in=-20]
(I7) to[out=120,in=-30]
(I8)
(I7) to[out=160,in=-15]++ (162:0.18)
(I3) to[out=180,in=140,looseness=0.9] % MIDDLE
(M1) to[out=-60,in=150,looseness=0.8]
(M2) to[out=-30,in=175,looseness=0.4]
(M3) to[out=-5,in=-15,looseness=1.5] % tip
(I5)
(M1) to[out=-130,in=135,looseness=1.2] % knuckle
(R1) to[out=-45,in=160,looseness=0.9]
(R2) to[out=-20,in=180,looseness=0.4]
(R3) to[out=0,in=-15,looseness=1.5] % tip
(M3)
(R1) to[out=-150,in=130] % PINKY
(P1) to[out=-50,in=165]
(P2) to[out=-15,in=180,looseness=0.9]
(P3) to[out=0,in=-35,looseness=1.5] % tip
(R3)
(P2) to[out=-35,in=145] % WRIST
(W1) to[out=-35,in=160]
(W2);
% FOLDS
\draw[very thin] (T5)++(-80:0.3) to[out=40,in=180]++ (25:0.45); % THUMB
\draw[very thin] (I4)++(135:0.1) to[out=100,in=-110]++ (80:0.4); % INDEX
\draw[very thin] (M2)++(130:0.1) to[out=100,in=-110]++ (80:0.4); % MIDDLE
\draw[very thin] (R2)++(140:0.1) to[out=95,in=-110]++ (80:0.4); % RING
\draw[very thin] (P2)++(145:0.1) to[out=95,in=-110]++ (85:0.4); % PINKY
\draw[very thin] (I8)++(-33:0.55) to[out=50,in=-90]++ (70:0.6); % PALM
\draw[very thin] (I7)++(-5:0.2) to[out=70,in=-80]++ (80:1.1); % PALM
\draw[very thin] (W2)++(70:1.4) to[out=-175,in=-40]++ (160:1.4); % PALM
% VECTORS
\def\Rx{2.4}
\def\Ry{0.7}
\draw[mu vector]
(O)++(-180:0.35) --++ (78:3.6)
node[above,scale=1.5] {$\vb*{\mu}$};
%\draw[thick,rotate=-15]
% (O) ellipse ({\Rx} and {\Ry}); %++({\Rx*(1-cos(250))},{-\Ry*sin(250))})
\draw[current,very thick,rotate=-15]
(O)++(-250:{\Rx} and {\Ry}) arc (-250:-80:{\Rx} and {\Ry})
node[below left=-1,scale=1.5] {$\vb{I}$};
% % HELP LINES
% \foreach \i in {0,...,4}{
% \draw[very thin,red!10] (-4.5, \i) -- (4, \i) node[red!30] {\i};
% \draw[very thin,red!10] (-4.5,-\i) -- (4,-\i) node[red!30] {-\i};
% \draw[very thin,red!10] (\i,-4) -- (\i,4) node[red!30] {\i};
% \draw[very thin,red!10] (-\i,-4) -- (-\i,4) node[red!30] {-\i};
% }
% \node[blue,scale=0.4] at (T1) {T1};
% \node[blue,scale=0.4] at (T2) {T2};
% \node[blue,scale=0.4] at (T3) {T3};
% \node[blue,scale=0.4] at (T4) {T4};
% \node[blue,scale=0.4] at (T5) {T5};
% \node[blue,scale=0.4] at (T6) {T6};
% \node[blue,scale=0.4] at (T7) {T7};
% \node[blue,scale=0.4] at (I1) {I1};
% \node[blue,scale=0.4] at (I2) {I2};
% \node[blue,scale=0.4] at (I3) {I3};
% \node[blue,scale=0.4] at (I4) {I4};
% \node[blue,scale=0.4] at (I5) {I5};
% \node[blue,scale=0.4] at (I6) {I6};
% \node[blue,scale=0.4] at (I7) {I7};
% \node[blue,scale=0.4] at (I8) {I8};
% \node[blue,scale=0.4] at (M1) {M1};
% \node[blue,scale=0.4] at (M2) {M2};
% \node[blue,scale=0.4] at (M3) {M3};
% \node[blue,scale=0.4] at (R1) {R1};
% \node[blue,scale=0.4] at (R2) {R2};
% \node[blue,scale=0.4] at (R3) {R3};
% \node[blue,scale=0.4] at (P1) {P1};
% \node[blue,scale=0.4] at (P2) {P2};
% \node[blue,scale=0.4] at (P3) {P3};
% %\node[blue,scale=0.4] at (P4) {P4};
% \node[blue,scale=0.4] at (W1) {W1};
% \node[blue,scale=0.4] at (W2) {W2};
\end{tikzpicture}
% RIGHT HAND RULE - magnetic moment
\begin{tikzpicture}
\coordinate (O) at (1.1,0.2); % 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 ( 0.9, 0.2);
\coordinate (I1) at (-0.1, 1.4); % INDEX
\coordinate (I2) at (-1.3, 1.2);
\coordinate (I3) at (-1.6, 0.5);
\coordinate (I4) at (-0.7,-0.4);
\coordinate (I5) at ( 0.1,-0.6);
\coordinate (I6) at ( 0.1,-0.05);
\coordinate (I7) at (-0.4,0.19);
\coordinate (I8) at (-1.0, 0.9);
\coordinate (M1) at (-1.8,-0.1); % MIDDLE
%\coordinate (M2) at (-0.5,-0.7);
\coordinate (M2) at (-0.8,-1.0);
\coordinate (M3) at ( 0.1,-1.15);
\coordinate (R1) at (-1.8,-0.8); % RING
\coordinate (R2) at (-0.9,-1.6);
\coordinate (R3) at (-0.0,-1.7);
\coordinate (R4) at ( 0.0,-1.1);
\coordinate (P1) at (-1.9,-1.4); % PINKY
\coordinate (P2) at (-1.0,-2.1);
\coordinate (P3) at (-0.3,-2.15);
\coordinate (W1) at ( 0.4,-2.9); % WRIST BOTTOM
\coordinate (W2) at ( 1.6,-3.5);
% HAND
\fill[pinkskin]
(WT) -- (T6) -- (I2) -- (P2) -- (W1) -- (W2) to[out=25,in=-90] cycle;
\draw[fill=pinkskin]
(WT) to[out=120,in=-60] % THUMB
(T1) to[out=120,in=-90]
(T2) to[out=80,in=-110]
(T3) to[out=80,in=50,looseness=1.5] % tip
(T4) to[out=-130,in=80]
(T5) to[out=-100,in=70]
(T6) to[out=-100,in=100]
(T7)
(T6) -- % INDEX
(I1) to[out=170,in=15]
(I2) to[out=-165,in=140,looseness=1.2] % knuckle
(I3) to[out=-60,in=140,looseness=0.8]
(I4) to[out=-40,in=180,looseness=0.4]
(I5) to[out=20,in=-30,looseness=1.3] % tip
(I6) to[out=150,in=-20]
(I7) to[out=120,in=-30]
(I8)
(I7) to[out=160,in=-15]++ (162:0.18)
(I3) to[out=180,in=140,looseness=0.9] % MIDDLE
(M1) to[out=-60,in=150,looseness=0.8]
(M2) to[out=-30,in=175,looseness=0.4]
(M3) to[out=-5,in=-15,looseness=1.5] % tip
(I5)
(M1) to[out=-130,in=135,looseness=1.2] % knuckle
(R1) to[out=-45,in=160,looseness=0.9]
(R2) to[out=-20,in=180,looseness=0.4]
(R3) to[out=0,in=-15,looseness=1.5] % tip
(M3)
(R1) to[out=-150,in=130] % PINKY
(P1) to[out=-50,in=165]
(P2) to[out=-15,in=180,looseness=0.9]
(P3) to[out=0,in=-35,looseness=1.5] % tip
(R3)
(P2) to[out=-35,in=145] % WRIST
(W1) to[out=-35,in=160]
(W2);
% FOLDS
\draw[very thin] (T5)++(-80:0.3) to[out=40,in=180]++ (25:0.45); % THUMB
\draw[very thin] (I4)++(135:0.1) to[out=100,in=-110]++ (80:0.4); % INDEX
\draw[very thin] (M2)++(130:0.1) to[out=100,in=-110]++ (80:0.4); % MIDDLE
\draw[very thin] (R2)++(140:0.1) to[out=95,in=-110]++ (80:0.4); % RING
\draw[very thin] (P2)++(145:0.1) to[out=95,in=-110]++ (85:0.4); % PINKY
\draw[very thin] (I8)++(-33:0.55) to[out=50,in=-90]++ (70:0.6); % PALM
\draw[very thin] (I7)++(-5:0.2) to[out=70,in=-80]++ (80:1.1); % PALM
\draw[very thin] (W2)++(70:1.4) to[out=-175,in=-40]++ (160:1.4); % PALM
% VECTORS
\def\Rx{2.4}
\def\Ry{0.7}
\draw[very thick]
(O)++(-108.5:3.6) --++ (78:7.1);
\draw[current,very thick]
(O)++(106:1.2) --++ (78:2.1)
node[midway,left,scale=1.5] {$\vb{I}$};
\draw[BField,rotate=-15]
(O)++(-250:{\Rx} and {\Ry}) arc (-250:-80:{\Rx} and {\Ry})
node[below=1,scale=1.5] {$\vb{B}$};
\end{tikzpicture}
\end{document}Click to download: righthand_rule.tex • righthand_rule.pdf
Open in Overleaf: righthand_rule.tex
Hello,
Wagner again here!
I have taken on a project to draw the left hand rule, using your code as the base.
As soon as I have it working and I understand what I am doing, I will send you the code.
Thank you for sharing all of this!
Hi Wagner,
Nice, thanks! I think you can avoid some translation work if you simply add
xscale=-1to mirror the image:\begin{tikzpicture}[xscale=-1] ... \end{tikzpicture}or
\begin{tikzpicture} \begin{scope}[xscale=-1] % code for the hand \end{scope} % code for the arrows etc. \end{tikzpicture}Cheers,
Izaak
Fantastic!
By the time that you sent this message, I had done most of the work on the left hand. I would have done it anyway, as I wanted to learn about the out and in angles, curves, looseness and all of that. It was a good exercise to have done, so that I can do other things in the future! 🙂
I have been breaking down some of your codes and attempting to understand it line by line, at least the ones that I feel that I can expand into other areas, such as the hand and the projectile motion.
If I do anything interesting in the future that you have not yet done, I will be sharing it with you!
Thank you,
Wagner.