Question

Find the position of point $P$ in a rectangular co-ordinate system of $(1,0.5,2)$.

• A. $\hat{i}+2\hat{j}+0.5\hat{k}$
• B. $0.5\hat{i}+2\hat{j}+\hat{k}$
• C. $\hat{i}+0.5\hat{j}+2\hat{k}$
• D. $2\hat{i}+0.5\hat{j}+\hat{k}$

Answer 1

The correct option is C $\hat{i}+0.5\hat{j}+2\hat{k}$

If a point has coordinate $(x,y,z)$ then its position vector is written as
$\overrightarrow{r}=x\hat{i}+y\hat{j}+z\hat{k}$
Here, the given co-ordinate is $(1,0.5,2)$, thus the position vector is
$\overrightarrow{r}=\hat{i}+0.5\hat{j}+2\hat{k}$