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Vector Addition

Two points A ...

Question

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

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Solution

$A (2, - 1, 3)$ and $B (4, 2, 5)$

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

$⟹ \to A B = (4 - 2) i + (2 - (- 1)) j + (5 - 3) k$

$⟹ \to A B = 2 i + 3 j + 2 k$
which is the required vector.

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