Example 2-3-3 - Maple Help
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Chapter 2: Space Curves

Section 2.3: Tangent Vectors

Example 2.3.3

Let Rp be the position-vector representation of the parametric curve x=p2p/2,y=4/3 p3/2, p0, and let Rs=Rps be the reparametrization obtained in Example 2.2.6. (Recall that s is the arc length along the curve.)


Obtain ρ=Rp.


Obtain the unit tangent vector Tp=Rp/ρ.


Show that Tps=ddsRs, thus verifying that Rs is automatically a unit tangent vector.

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