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Questions  

If F be a force acting on a particle having the position vector r and τ be 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

Torque,  τ=r×F, i.e. τ is perpendicular to both r and F.∴  r·τ=0 and F·τ=0

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