Question

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

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

Answer 1

The correct option is B $(10\hat{i}-6\hat{j})$

Bird's displacement is $\Delta \overrightarrow{r}={\overrightarrow{r}}_2-{\overrightarrow{r}}_1$
$\therefore$ $\Delta \overrightarrow{r}=(7\hat{i}-2\hat{j}-3\hat{k})-(-3\hat{i}+4\hat{j}-3\hat{k})$

$=10\hat{i}-6\hat{j}$