Chapter 8.1, Problem 10CFU

To determine

Find the magnitude and the direction of the resultant.

Answer to Problem 10CFU

  $12.4cmat51°$

Explanation of Solution

Given information:

  $4\overrightarrow{y}+\overrightarrow{z}$

Calculation:

Here, we have:

  $4\overrightarrow{y}+\overrightarrow{z}$

Now, vector $\overrightarrow{y}$ is a vector having magnitude $2.8unitat55°$ and the vector $\overrightarrow{z}$ is a vector having magnitude $1.4unitsat20°$ .

Now, make $4y=4\left(2.8\right)or11.2cm,z=1.4cm,measureangleof55°for4\overrightarrow{y}and20°for\overrightarrow{z}$ .

  $\begin{array}{l}Thelengthofthesum,4\overrightarrow{y}+\overrightarrow{z}=12.4cm\\ \therefore \theta =51°\end{array}$

Hence, the required answer is $12.4cmat51°$ .