If ⃗F be a force acting on a particle having the position vector &#x

Question

⃗ 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

Options:

A . ⃗τ.⃗F=0 and ⃗r.⃗τ=0

B . ⃗τ.⃗F=0 and ⃗F.⃗τ≠0

C . ⃗r.⃗τ≠0 and ⃗F.⃗τ≠0

D . ⃗r.⃗τ≠0 and ⃗F.⃗τ=0

Answer: Option A
:
A

⃗ τ = ⃗ r \times ⃗ F,

⃗ τ . ⃗ F = 0

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