Chapter 8.1, Problem 21E

To determine

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

Answer to Problem 21E

  $\begin{array}{l}\text{Magnitude}=5.4\text{ cm}\\ \text{Direction}=325°\end{array}$

Explanation of Solution

Given information:

The vectors are as follows:

  $\begin{array}{l}\text{Magnitude of }\overrightarrow{r}=2.6\text{ cm}\\ \text{Direction of }\overrightarrow{r}=128°\\ \text{Magnitude of }\overrightarrow{u}=3.0\text{ cm}\\ \text{Direction of }\overrightarrow{u}=340°\end{array}$

Calculation:

The resultant diagram of $\overrightarrow{u}-\overrightarrow{r}$ vector is as follows:

The length measure from tail to under the arrow head is 5.4 cm. The direction of the vector is given by the angle measure and it is found to be $325°$ .