Find the torque of a force ` 7veci+ 3vecj - 5veck` about the origin. The force acts on a particle whose position vector is `veci-veci +veck`.

Find the moment of a force , vecF=3veci+2vecj acting at point vecr=veci+2veck about a point of position vector vecr=veci+vecj .

Find the projection of the vector veci + 3vecj + 7veck on the vector 7veci - vecj + 8veck

A force vecF = (3veci + 2vecj - 4veck) N acts on a particle. The position of particel with respect to origin O is vecr = (veci + 2vecj) m. Find the torque acting on the particel and calculate its magnitude.

Find the projection of the vector veca = 2veci + 3vecj + 2veck on the vector vecb = veci + 2vecj + veck

For given vectors, veca = 2veci - vecj + 2veck, vecb = -veci + vecj - veck find the unit vector in the direction of the vector veca+vecb

A force of 15 units act iln the direction of the vector veci-vecj+2veck and passes through a point 2veci-2vecj+2veck . Find the moment of the force about the point veci+vecj+veck .

A force of 15 units act iln the direction of the vector veci-vecj+2veck and passes through a point 2veci-2vecj+2veck . Find the moment of the force about the point veci+vecj+veck .

Two vertices of a triangle hence position vetors 2veci+4vecj-5veck and veci+3vecj-3veck .If the position vector of the centroid is vecj+2veck ,then the position vector of the third vertex is

Find the vector and cartesian equations of the straight line passing through the point A with position vector 3veci-vecj+4veck and parallel to the vector -5veci+7vecj+3veck .