Question

A point $P$ having the coordinate in space $(4,2,3)$. Find the position vector of $P$ ?

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

Answer 1

The correct option is C $\overrightarrow{P}=4\hat{i}+2\hat{j}+3\hat{k}$

Let $\hat{ı}$, $\hat{ȷ}$, $\hat{k}$ are the unit vector in $x$, $y$ and $z$ direction respectively.
So, position vector of point $P$ become
$\overrightarrow{P}=4\hat{i}+2\hat{j}+3\hat{k}$