Find the position vector of the midpoint of the vector joining the points P(2,3,4) and Q(4,1, -2).

The correct answer is $3\hat{i} + 2\hat{j} + \hat{k}$

Let $\overrightarrow{OP} = 2\hat{i} + 3\hat{j} + 4\hat{k}$ and $\overrightarrow{OQ}$ = $4\hat{i} + \hat{j} - 2\hat{k} $

Mid point of the vector joining the points P and Q

= $\dfrac{\overrightarrow{OP} + \overrightarrow{OQ}}{2}$
= $\dfrac{(2\hat{i} + 3\hat{j} + 4\hat{k}) + (4\hat{i} + \hat{j} - 2\hat{k})}{2}$

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