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VectorCalculus[SpaceCurve] - plot a space curve in R2 or R3

Calling Sequence

SpaceCurve(C, r)

Parameters

C

-

Vector(algebraic); the free or position Vector representing a curve

r

-

name=range; the range of the parameter of the curve

Description

• 

The SpaceCurve(C, t=a..b) calling sequence plots a space curve in R2 or R3. The plot is displayed in Cartesian coordinates.

• 

Alternatively, a curve can be defined using a position Vector and it can be visualized with PlotPositionVector.

Examples

withVectorCalculus:

The commands to create the plots in the Plotting Guide are

SpaceCurveⅇtcost,ⅇtsint,t=4..8

SpaceCurvecost,sint,t,t=1..9

Other example

SetCoordinatespolarr,t

SpaceCurvePositionVector1,t,t=0..2π

See Also

plot, plots[spacecurve], VectorCalculus, VectorCalculus[Curvature], VectorCalculus[PlotPositionVector], VectorCalculus[PositionVector], VectorCalculus[PrincipalNormal], VectorCalculus[TangentVector], VectorCalculus[TNBFrame]


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