Triple Vector Product Identity

Snippets Page

Diagram for the triple vector product.

Source Code

\tikz[scale=.6]{
        \node[vertex](node)at(.5,2){};
        \draw[](0,0)node[vector]{$\bf u$}to[out=90,in=-135](node);
        \draw[](1,0)node[vector]{$\bf v$}to[out=90,in=-45](node);
        \draw[](2,0)node[vector]{$\bf w$}to(2,2);\draw(2,2)to[out=90,in=90,looseness=1.5](node);
    }
    =\tikz[scale=.6]{
        \node[vertex](node)at(1.5,2){};
        \draw[](0,0)node[vector]{$\bf u$}to(0,2);\draw(0,2)to[out=90,in=90,looseness=1.5](node);
        \draw[](1,0)node[vector]{$\bf v$}to[out=90,in=-135](node);
        \draw[](2,0)node[vector]{$\bf w$}to[out=90,in=-45](node);
    }
    =\tikz[scale=.6]{
        \node[vertex](node)at(1,2.5){};
        \draw[](0,0)node[vector]{$\bf u$}to[out=90,in=-90](1.5,1.75);\draw(1.5,1.75)to[out=90,in=-45](node);
        \draw[](1,0)node[vector]{$\bf v$}to[out=90,in=-90](2.5,2)to(2.5,2)to[out=90,in=90,looseness=2](node);
        \draw(2,0)node[vector]{$\bf w$}to[out=90,in=-90](.5,1.75);\draw[](.5,1.75)to[out=90,in=-135](node);
    }
    =\tikz[scale=.7]{
        \node[vertex](node)at(1,2){};
        \draw[](0,0)node[vector]{$\bf u$}to[out=90,in=-135](node);
        \draw[](1,0)node[vector]{$\bf v$}to[out=90,in=-90](node);
        \draw[](2,0)node[vector]{$\bf w$}to[out=90,in=-45](node);
    }