The Binormal(C, t) calling sequence computes a Vector in the direction of the binormal vector to a curve in R^3.

Note: This vector is not normalized by default, so it is a scalar multiple of the unit binormal vector to the curve C. Therefore, by default, the result is generally different from the output of TNBFrame(C, t, binormal=true). If either normalized=true or normalized is given in options, however, the resulting vector will be normalized.

The curve C must have exactly three components, that is, the curve that the Vector represents is in R^3.

If t is not specified, the command tries to determine a suitable variable name by using the components of C.  To do this, it checks all of the indeterminates of type name in the components of C and removes the ones that are determined to be constants.

If the resulting set has a single entry, that entry is the variable name.  If it has more than one entry, an error is raised.

The options arguments primarily control plot options.

output = value, plot, or animation

This option controls the return value of the command.

* output = value returns the value of the binormal. Plot options are ignored if output = value. This is the default value.

* output = plot returns a plot of the space curve and the binormal vectors. The number of binormal vectors is specified by the vectors option.

* output = animation returns an animation of the space curve and the binormal vectors. The number of binormal vectors is specified by the vectors option.

curveoptions = list

A list of plot options for plotting the space curve. For more information on plotting options, see plot/options. The default value is [].

normalized = truefalse

Either true or false. Specifies whether the binormal vector is to be normalized. The default value is false.

range = realcons..realcons

The range of the independent variable. The default value is 0..5.

vectoroptions = list

A list of plot options for plotting the binormal vectors. For more information on plotting options, see plot/options. The default value is [].

vectors = posint

Specifies how many binormal vectors are to be plotted or animated. The default value is 5.

view = [realcons..realcons, realcons..realcons, realcons..realcons]

Specify the plot view. For more information see plot3d/options.

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.