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Questions  

A vector a is turned without a change in its length through a small angle dθ. The value of |Δa| and a are respectively

a
0,adθ
b
adθ,0
c
0, 0
d
None of these

detailed solution

Correct option is B

From the figure |OA→|=a and |OB→|=aAlso from triangle rule OB→−OA→=AB→=Δa→⇒ |Δa→|=AB Using,  angle = arc  radius ⇒ AB=a⋅dθ So,  |∆a→|=adθΔa means change in magnitude of vector, i.e., |OB→|−|OA→|⇒ a−a=0 So  Δa=0

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