Consider a force F that acts on a particle with position vector r . If represents the torque of this force about the origin, which of the following is true?

Step-by-step solution

Torque is defined as the cross product of the position vector and the force vector: = r F By the properties of the cross product, the resulting vector is always perpendicular to both r and F . Since the dot product of two perpendicular vectors is zero, we have: r = r ( r F ) = 0 F = F ( r F ) = 0 Thus, both dot products are zero.