Chapter 13.2, Problem 1E

(a)

To determine

To draw: The vectors $\text{r}\left(4.5\right)-\text{r}\left(4\right)$ and $\text{r}\left(4.2\right)-\text{r}\left(4\right)$.

(b)

To determine

To draw: The vectors $\frac{\text{r}\left(4.5\right)-\text{r}\left(4\right)}{0.5}$ and $\frac{\text{r}\left(4.2\right)-\text{r}\left(4\right)}{0.2}$.

(c)

To determine

To write: The expression for the vector ${\text{r}}^{\prime }\left(4\right)$ and the unit tangent vector $\text{T}\left(4\right)$.

(d)

To determine

To draw: The vector $\text{T}\left(4\right)$.