Chapter 8.1, Problem 25E

To determine

To find: the magnitude and direction of the $3\overrightarrow{u}-2\overrightarrow{s}$ resultant vector.

Answer to Problem 25E

  $\begin{array}{l}\text{Magnitude}=7.2\text{ cm}\\ \text{Direction}=282.5°\end{array}$

Explanation of Solution

Given information:

The vectors are as follows:

  $\begin{array}{c}\text{Magnitude of }\overrightarrow{s}=1.4\text{ cm}\\ \text{Direction of }\overrightarrow{s}=45°\\ \text{Magnitude of }\overrightarrow{u}=3.0\text{ cm}\\ \text{Direction of }\overrightarrow{u}=340°\end{array}$

Calculation:

The resultant diagram of $3\overrightarrow{u}-2\overrightarrow{s}$ vector is as follows:

The length measure of $3\overrightarrow{u}-2\overrightarrow{s}$ from tail to under the arrow head is 7.2 cm. The direction of the vector $3\overrightarrow{u}-2\overrightarrow{s}$ is given by the angle measure and it is found to be $282.5°$ .