The CrossProductPlot(u,v) command displays two 3-D Vectors u and v and their cross product $u\&xv$.

The opts argument can contain any of the Student plot options or any of the following equations that set plot options.

crossoptions = list(algebraic)

A list of options for the plot of the cross product u &x v. For more information on arrow plot options, see plot/arrow. [Default: solid arrow]

vectorcolors = [color, color, color]

A list of colors for u, v, and u &x v. For more information on plot color options, see plot/color.

vectoroptions = list(algebraic)

A list of options for the plot of the two vectors u and v.  For more information on arrow plot options, see plot/arrow. [Default: solid arrow]

caption = anything

A caption for the plot.

The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption, see plot/typesetting.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{LinearAlgebra}\right]\right)\:$

$\mathrm{infolevel}\left[\mathrm{Student}\left[\mathrm{LinearAlgebra}\right]\right]≔1\:$

$u≔⟨2\,-1\,4⟩$

$u≔\left[\begin{array}{c}2\\ \mathrm{-1}\\ 4\end{array}\right]$

$v≔⟨3\,-2\,1⟩$

$v≔\left[\begin{array}{c}3\\ \mathrm{-2}\\ 1\end{array}\right]$

$u\&xv$

$\left[\begin{array}{c}7\\ 10\\ \mathrm{-1}\end{array}\right]$

$\mathrm{CrossProductPlot}\left(u\,v\right)$

  <2, -1, 4> &x <3, -2, 1> =
     <7, 10, -1>