A force `vec F = prop hat i + 3 hat j + 6 hat k` is acting at a point `vec r = 2 hat i - 6 hat j - 12 hat k`. The value of `prop` for which angular momentum about origin is conserved is.

vecF = a hat i + 3hat j+ 6 hat k and vec r = 2hat i-6hat j -12 hat k . The value of a for which the angular momentum is conserved is

vecF = a hat i + 3hat j+ 6 hat k and vec r = 2hat i-6hat j -12 hat k . The value of a for which the angular momentum is conserved is

If vec F =2 hat i + 3hat j +4hat k acts on a body and displaces it by vec S =3 hat i + 2hat j + 5 hat k , then the work done by the force is

Find vec a . vec b , When vec a = 2 hat i +2 hat j - hat k and vec b = 6 hat i -3 hat j +2 hat k

The position of a particle is given by vec r = hat i + 2hat j - hat k and its momentum is vec p = 3 hat i + 4 hat j - 2 hat k . The angular momentum is perpendicular to

The velocity of a particle of mass m is vec(v) = 5 hat(i) + 4 hat(j) + 6 hat(k)" " "when at" " " vec(r) = - 2 hat(i) + 4 hat (j) + 6 hat(k). The angular momentum of the particle about the origin is

The velocity of a particle of mass m is vec(v) = 5 hat(i) + 4 hat(j) + 6 hat(k)" " "when at" " " vec(r) = - 2 hat(i) + 4 hat (j) + 6 hat(k). The angular momentum of the particle about the origin is

The torque of force F = -3 hat(i)+hat(j) + 5 hat(k) acting on a point r = 7 hat(i) + 3 hat(j) + hat(k) about origin will be

The torque of force F = -3 hat(i)+hat(j) + 5 hat(k) acting on a point r = 7 hat(i) + 3 hat(j) + hat(k) about origin will be