Two points $A$ and $B$ in space have the co-ordinates $(2, - 1, 3)$ and $(4, 2, 5)$ respectively. Find vector $A B$ .

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Solution

$- - \to A B = (x_{2} - x_{1})^i + (y_{2} - y_{1})^j + (z_{2} - z_{1})^k$
$\Rightarrow - - \to A B = (4 - 2)^i + (2 + 1)^j + (5 - 3)^k = 2^i + 3^j + 2^k$

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