Example 2-3-4 - Maple Help



Chapter 2: Space Curves



Section 2.3: Tangent Vectors



Example 2.3.4



 If $\mathbf{R}\left(p\right)$ is the position vector for the general parametric curve whose components are $x\left(p\right),y\left(p\right),z\left(p\right)$, and $s\ge 0$ is arc length, show that $\frac{d}{\mathrm{ds}}\mathbf{R}\left(p\left(s\right)\right)$ is necessarily the unit (tangent) vector T.