![](data:image/svg+xml;charset=utf-8,<svg height="300px" width="600px" xmlns="http://www.w3.org/2000/svg" version="1.1"/>)
If F⃗ is the force acting on a particle having position vector r⃗ and ? ⃗ be the torque of this force about the origin, then:
Options
(a) r⃗ . ? ⃗ > 0 and F⃗ . ? ⃗ (b) r⃗ . ? ⃗ = 0 and F⃗ . ? ⃗ = 0
(c) r⃗ . ? ⃗ = 0 and F⃗ . ? ⃗ ≠ 0
(d) r⃗ . ? ⃗ ≠ 0 and F⃗ . ? ⃗ = 0
Correct Answer:
r⃗ . ? ⃗ = 0 and F⃗ . ? ⃗ = 0
Explanation:
? ⃗ = r⃗ x F⃗ ⇒ r⃗ . ? ⃗ = 0 and F⃗ . ? ⃗ = 0
Since, ? ⃗ is perpendicular to the plane of r⃗ and F⃗ , hence the dot product of ? ⃗ with r⃗ and F⃗ is zero.
