Chapter 8.1, Problem 18E

To determine

To find: the magnitude and direction of the $\overrightarrow{r}+\overrightarrow{s}$ resultant vector.

Answer to Problem 18E

  $\begin{array}{l}\text{Magnitude}=3.0\text{ cm}\\ \text{Direction}=101°\end{array}$

Explanation of Solution

Given information:

The vectors are as follows:

  $\begin{array}{l}\text{Magnitude of }\overrightarrow{r}=2.6\text{ cm}\\ \text{Direction of }\overrightarrow{r}=128°\\ \text{Magnitude of }\overrightarrow{s}=1.4\text{ cm}\\ \text{Direction of }\overrightarrow{s}=45°\end{array}$

Calculation:

The resultant diagram of $\overrightarrow{r}+\overrightarrow{s}$ vector is as follows:

The length measure from tail to under the arrow head is 3.0 cm. The direction of the vector is given by the angle measure and it is found to be $101°$ .