Find the position vector of the mid point of the vector joining the points `P(2,3,4)a n d\ Q(4,1,-2)dot`

Explanation

`\vec{O P}=\vec{P}=2 \hat{i}+3 \hat{\j}+4 \hat{k}`

`\quad \vec{O Q}=\vec{Q}=4 \hat{i}+\hat{j}-2 \hat{k}`

`\quad \vec\{O D}=\frac{\vec{O P}+\vec{O Q}}{2} =\frac{2 \hat{i}+3 \hat{j}+4 \hat{k}+4 \hat{i}+\hat{j}-2 \hat{k}}{2} =\frac{6 \hat{i}+4 \hat{j}+2 \hat{k}}{2}=\frac{2(3 \hat{i}+2 \hat{j}+\hat{k})}{2}=\{(3 \hat{i}+2 \hat{j}+\hat{k})}`