Question

If Sameer moves from point $A$ having position vector $3\hat{i}+2\hat{j}+5\hat{k}$ to point $B$ having position vector $6\hat{i}+3\hat{j}+7\hat{k}$, what is his displacement vector?

• A. $3\hat{i}+\hat{j}+3\hat{k}$
• B. $3\hat{i}+\hat{j}+2\hat{k}$
• C. $3\hat{i}+\hat{j}+4\hat{k}$
• D. $3\hat{i}+\hat{j}+7\hat{k}$

Answer 1

The correct option is B

$3\hat{i}+\hat{j}+2\hat{k}$

From definition,
the displacement vector (${\overrightarrow{V}}_{dis}$) = ${\overrightarrow{r}}_B-{\overrightarrow{r}}_A$
where, $\overrightarrow{r}$ represents position vector.
Hence,
${\overrightarrow{V}}_{dis}$ = (6$\hat{i}$+3$\hat{j}$+ 7$\hat{k}$)- ( 3$\hat{i}$+2$\hat{j}$+ 5$\hat{k}$)
= 3$\hat{i}$+$\hat{j}$+ 2$\hat{k}$