A vector a→ is turned without a change in its length through a small angle dθ. The value of |Δa→| and ∆a are respectively
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a
0,adθ
b
adθ,0
c
0, 0
d
None of these
answer is B.
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Detailed Solution
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