A force `vec F = 3 vec i + 2 vec j - 4 vec k` is acting at the point `(1,-1, 2)`. Find the vector moment of `vec F` about the point `(2,-1,3)`.

A force vec(F)=3hat(i)+2hat(j)-4hat(k) is applied at the point (1, -1, 2) . Find the moment of vec(F) about the point (2, -1, 3) .

A force vec(F) = 3 hat(i) + 2hat(j) - 4hat(k) is applied at the point (1, -1, 2) . What is the moment of the force about the point (2 , -1, 3) ?

A force vec(F)=4hat(i)+hat(k) acts through point A (0, 2, 0). Find the moment vec(m) of vec(F) about the point B (4, 0, 4).

The moment of a force vec i+vec j+vec k acting through the point A=-2vec i+3vec j+vec k about the point B=vec i+2vec j+3vec k is

The position vectors of the points A and B are vec i + 2 vec j + 3 vec k and 2 vec i - vec j - vec k respectively. Find the projection of vec (AB) on the vector vec i + vec j + vec k . Also find the resolved part of vec (AB) in that direction.

A force vec F = (5 vec i+ 3 vec j+ 2 vec k) N is applied over a particle which displaces it from its origin to the point vec r=(2 vec i- vec j) m . The work done on the particle in joules is.

If vec a xx i+2vec a-4vec i-2vec j+vec k=0 then vec a=

A force F = (2 vec i + vec j + vec k)N is acting on a particle moving with constant velocity vec v = (vec i + 2 vec j + vec k)m/s . Power delivered by force is

If the vector vec a= x vec i + y vec j + 2 vec k is perpendicular to the vector vec b = vec i - vec j + vec k and the scalar product of vec a and vec c= vec i + 2 vec j is equal to 4 then x= ________ and y=__________.

A particle moves with the velocity vec v = (5 vec i + 2 vec j - vec k) ms^(-1) under the influence of a constant force, vec F = (2 vec i + 5 vec j - 10 vec k)N . The instantaneous power applied is