Example 2-3-5 - Maple Help
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Chapter 2: Space Curves

Section 2.3: Tangent Vectors

Example 2.3.5

If Rs is the position vector for C, a curve parametrized by s, the arc length, and Ts=Rs is the unit tangent vector along C, show that T·T=0, thereby proving that the unit tangent vector is necessarily orthogonal to its derivative.

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