Answer:
Explanation:
Given
Man walks 17.5 m straight to west 17.5 m
So position vector is given by
[tex]\vec{r_1}=-17.5\hat{i}[/tex]
Now he walks 22 m North
so position vector is
[tex]r_{21}=22\hat{j}[/tex]
Position of man from initial Position
[tex]\vec{r_{2}}=\vec{r_2}-\vec{r_1}[/tex]
[tex]\vec{r_{2}}=22\hat{j}-(-17.5\hat{i})[/tex]
[tex]\vec{r_{2}}=17.5\hat{i}+22\hat{j}[/tex]
So Magnitude of distance is given by
[tex]|\vec{r_{2}}|=\sqrt{17.5^2+22^2}[/tex]
[tex]|\vec{r_{2}}|=28.11\ m[/tex]
