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

Section 2.3: Tangent Vectors

Example 2.3.2

If Rp is the position-vector representation of C, the parametric curve x=p cosp, y=p sinp, p0,3 π,


Obtain ρ=Rp and the unit tangent vector T=R/ρ.


Graph R and the vectors R1,R5,R9 along C.


Graph R and the vectors T1,T5,T9 along C.


Show that T·Tp=0, thus verifying that a unit vector is necessarily orthogonal to its derivative.


To the graph in Part (c), add the vectors T1,T5,T9.

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