The torque of a force `vecF` about a point is defined as `vecGamma=vecrxxvecF`. Suppose `vecr,vecF and vecGamma` are all nonzero. Is `vecrxxvecGamma||vecF` always true? Is it ever true?

The work done by a force vecF during a displacement vecr is given by vecF.vecr . Suppose a force of 12 N acts on a particle in vertically upward directionand the particle is displaced through 2.0 m in vertically downward direction. Find the work done by the force during this displacement.

A disc is rotating with angular velocity (vecomega) .A force vecF acts at a point whose position vector with respect to the axis of rotation is vecr . The power associated with the torque due to the force is given by

What is the torque of the force vecF=3hati-2hatj+4hatk acting at a point vecr=2hati+3hatj+5hatk about the origin?

A force vecF= alpha hat i +3 hatj+6hatk is acting at a point vec r =2hati-6hatj-12 hatk .The value of alpha for which angular momentum about origin is conserved is:

A force of vecF = (4hati-3hatj+5hatk)N is applied at a point whose position vector is vec r = (7hati+4hatj-2hatk)m . Find the torque of force about the origin.