Question

A bird flies from ($-3\,m$, $4m$, $-3 \,m$) to ($7m$, $-2\,m$, $-3\,m$) in the $xyz$- coordinates. The bird’s displacement vector is given by

• A. $\left(4\hat{i}+2\hat{j}-6\hat{k}\right)$
• B. $\left(10\hat{i}-6\hat{j}\right)$
• C. $\left(4\hat{i}-2\hat{j}\right)$
• D. $\left(10\hat{i}+6\hat{j}-6\hat{k}\right)$

Answer 1

Answer: (B)

Birds displacement is
$\Delta\vec{r}=\vec{r}_{2}-\vec{r_{1}}$
$\therefore \Delta\vec{r}=\left(7\hat{i}-2\hat{j}-3\hat{k}\right)-\left(-3\hat{i}+4\hat{j}-3\hat{k}\right)$
$=10\hat{i}-6\hat{j}$