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Questions  

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

a
τ→.F→=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 D

We know that the torque τ→  is τ→=r→×F→ This implies the torque is perpendicular to both the vectors r→  and F→ Therefore r→.τ→  =0as well as F→.τ→=0

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