Example 2-6-2 - Maple Help

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Chapter 2: Space Curves

Section 2.6: Binormal and Torsion

Example 2.6.2

For C, the curve defined by Rp=p i+3 p2 j+p3 k in Example 2.5.7,

a) 

Obtain the TNB-frame.

b) 

Calculate the torsion τ by both formulas on the right in Table 2.6.1.

c) 

Verify the equality T.p·B.p=κ τ ρ2.

d) 

Graph C, along with the TNB-frame at p=1.