Question

If a particle moves from point $P(2,3,5)$ to point $Q(3,4,5)$. Its displacement vector be

• A. $\hat{i}+\hat{j}+5\hat{k}$
• B. $2\hat{i}+4\hat{j}+6\hat{k}$
• C. $\hat{i}+\hat{j}+10\hat{k}$
• D. $\hat{i}+\hat{j}$

Answer 1

The correct option is D $\hat{i}+\hat{j}$

Formula Used: $\overrightarrow{r}=\Delta x\hat{i}+\Delta y\hat{j}+\Delta z\hat{k}$
Displacement vector, $\overrightarrow{r}=\Delta x\hat{i}+\Delta y\hat{j}+\Delta z\hat{k}$
$=(3-2)\hat{i}+(4-3)\hat{j}+(5-5)\hat{k}=\hat{i}+\hat{j}$
Final Answer: (C)