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3-1.Vectors
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સદિશ $\overrightarrow a $ ને $d\theta $ખૂણે ફેરવતાં $|\Delta \overrightarrow a |$ અને $\Delta a$ મેળવો.

A

$0,\,a\,d\theta $

B

$a\,d\theta ,\,0\,$

C

$0, 0$

D

એકપણ નહિ

Solution

$|\overrightarrow {OA} |\, = a$

$|\overrightarrow {OB} |\, = a$

$\overrightarrow {OB} – \overrightarrow {OA} = \overrightarrow {AB} = \Delta \overrightarrow {a\,} $ $ \Rightarrow \,\,\,|\Delta \overrightarrow {a\,} |\, = AB$

$AB = a . d\theta $

$|\Delta \overrightarrow {a\,} |\, = \,a\,d\theta $

$|\overrightarrow {OB} | – |\overrightarrow {OA} |$ $ \Rightarrow \,\,\,a – a = 0$

$\Delta a = 0$

Standard 11
Physics

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