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Questions  

Let F be the force acting on a particle having position vector r and τ the torque of this force about the origin. Then

a
r→⋅τ→=0 and F→⋅τ→=0
b
r→∙τ→=0 and F→∙τ→≠0
c
r→∙τ→≠0 and F→∙τ→=0
d
r→∙τ→≠0 and F→∙τ→≠0

detailed solution

Correct option is A

We know that,τ→ = r→×F→ . So τ→ is perpendicular to both r→ and F→so, r→.τ→=0and F→.τ→=0

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