A force of magnitude 6 units acting parallel to `2hat(i)-2hat(j)+hat(k)` displace the point of application from `(1,2,3)" to "(5,3,7).` Find the work done.

A particle acted on by constant forces 8hat(i)+2hat(j)-6hat(k)and6hat(i)+2hat(j)-2hat(k) is displaced from the point (1,2,3) to the point (5,4,1). Find the total work done by the forces.

If the work done by a force bar(F)=hat(i)+mhat(j)+hat(k) in moving the point of application from (1,1,1)" to "(3,3,3) along a straight is 12 units, then m is

Forces of magnitude 5sqrt(2)and10sqrt(2) units acting in the directions 3hat(i)+4hat(j)+5kand10hat(j)+6hat(j)-8hat(k), respectively, act on a particle which is displaced from the point with position vector 4hat(i)-3hat(j)-2hat(k) to the with position vector 6hat(i)+hat(j)-3hat(k). Find the work done by the forces.

A particle acted on forces vec F_(1)= 3 hati -hat j+ 3 hat k and vecF_(2)= 2 hat i + 3 hat j - 4 hatk , is displaced from the point (3, -2, -1) to the point (1, 5,-2) . Find the total work done by the forces.

A force vec(F)=3hat(i)+ c hat(j)+2hat(k) acting on a particle causes a displacement vec(S)=(2hat(i)-3hat(j)+4hat(k)) in its own direction. If the work done is 8J, then the value of c is

Forces 2hat(i)+7hat(j),2hat(i)-5hat(j)+6hat(k),-hat(i)+2hat(j)-hat(k) act at a point P whose position vector is vec(4)-3hat(j)-2hat(k). Find the vector moment of the resultant of these forces acting at P about this Point Q whose position vector is 6hat(i)+hat(j)-3hat(k)

A uniform force of (2hat(i)+hat(j)) N acts on a particle of mass 1 kg. The particle displaces from position (3hat(j)+hat(k)) m to (5hat(i)+3hat(j)) m. The work done by the force on the particle is