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Standard XII

Physics

Position Vector

If the points...

Question

If the points $A$ and $B$ are $(1, 2, - 1)$ and $(2, 1, - 1)$ respectively, then $\to A B$ is

^i +^j

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^i -^j

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2^i +^j -^k

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^i +^j +^k

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Solution

The correct option is D $^i -^j$
$\to A B =$ $⟨ 2 - 1, 1 - 2, - 1 + 1 ⟩$

$= ⟨ 1, - 1, 0 ⟩$

$∴ \to A B =$ $^i -^j$

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If the points A and B are (1,2,−1) and (2,1,−1) respectively, then →AB is

The correct option is D ^i−^j→AB= ⟨2−1,1−2,−1+1⟩ =⟨1,−1,0⟩∴→AB= ^i−^j

If the points $A$ and $B$ are $(1, 2, - 1)$ and $(2, 1, - 1)$ respectively, then $\to A B$ is

The correct option is D $^i -^j$
$\to A B =$ $⟨ 2 - 1, 1 - 2, - 1 + 1 ⟩$

$= ⟨ 1, - 1, 0 ⟩$

$∴ \to A B =$ $^i -^j$