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Question: If a particle moves from point P (2,3,5) to point Q (3,4,5). Its displacement vector be...

If a particle moves from point P (2,3,5) to point Q (3,4,5). Its displacement vector be

A

i^+j^+10k^\widehat{i} + \widehat{j} + 10\widehat{k}

B

i^+j^+5k^\widehat{i} + \widehat{j} + 5\widehat{k}

C

i^+j^\widehat{i} + \widehat{j}

D

2i^+4j^+6k^2\widehat{i} + 4\widehat{j} + 6\widehat{k}

Answer

i^+j^\widehat{i} + \widehat{j}

Explanation

Solution

Displacement vector

r→=Δxi^+Δyj^+Δzk^\overset{\rightarrow}{r} = \Delta x\widehat{i} + \Delta y\widehat{j} + \Delta z\widehat{k}

=(3−2)i^+(4−3)j^+(5−5)k^=i^+j^= (3 - 2)\widehat{i} + (4 - 3)\widehat{j} + (5 - 5)\widehat{k} = \widehat{i} + \widehat{j}