Chapter 8.1, Problem 19E

To determine

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

Answer to Problem 19E

  $\begin{array}{l}\text{Magnitude}=2.47\text{ cm}\\ \text{Direction}=144°\end{array}$

Explanation of Solution

Given information:

The vectors are as follows:

  $\begin{array}{l}\text{Magnitude of }\overrightarrow{s}=1.4\text{ cm}\\ \text{Direction of }\overrightarrow{s}=45°\\ \text{Magnitude of }\overrightarrow{t}=2.1\text{ cm}\\ \text{Direction of }\overrightarrow{t}=14°\end{array}$

Calculation:

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

The length measure from tail to under the arrow head is 2.47 cm. The direction of the vector is given by the angle measure and it is found to be $144°$ .