If A and B are 2 points in space given as A (2,3,4) and B (6,7,8), Find AB

Problem – If A and B are 2 points in space given as A (2,3,4) and B (6,7,8), Find $\vec{AB}$

Solution

$\vec{AB}$ = Position vector of point B – Position vector of point A

= (6$\hat{i}$ + 7 $\hat{j}$ + 8 $\hat{k}$) – (2$\hat{i}$ + 3 $\hat{j}$ + 4 $\hat{k}$)

= 4$\hat{i}$ + 4 $\hat{j}$ + 4 $\hat{k}$