Chapter 11.5, Problem 41ES

Sketch the vectors ${\text{r}}_0=〈-2,0〉{\text{ and r}}_1=〈1,3〉,$ and then sketch the vectors $\frac{1}{3}{\text{r}}_0+\frac{2}{3}{\text{r}}_1,\frac{1}{2}{\text{r}}_0+\frac{1}{2}{\text{r}}_1,\frac{2}{3}{\text{r}}_0+\frac{1}{3}{\text{r}}_1$ Draw the line segment $\left(1-t\right){\text{r}}_0+t{\text{r}}_1\left(0\le t\le 1\right).$ If n is a positive integer, what is the position of the point on this line segment corresponding to $t=1/n,$ relative to the points $\left(-2,0\right)$ and $\left(1,3\right)$ ?