A force `vec F` = 3i+cj+2k acting on a particle causes a displacement
`vec S` = -4i+2j-3k , if the work done is 6J then the value of c will be

A force vec(F)=3hat(i)+2hat(j)+chat(k) N causes a displacement vec(r )=chat(i)+4hat(j)+chat(k) m . The work done is 36 J . Find the values (s) of c.

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.

Find the angle vetween force vec F =(3 hat I + 4 hat j -5 hat k) and displacement vec d =(5 hat I + 4 hat j + 3 hat k) unit. Also find the projection of vec F along vec d .

A force vec(F)=2hat(i)-3hat(j)+7hat(k) (N) acts on a particle which undergoes a displacement vec(r )=7hat(j)+3hat(j)-2hat(k)(m) . Calculate the work done by the force.

A particle which is experiencing a force, given by vec(F) = 3 vec(i) - 12 vec(j) , undergoes a displacement of vec(d) = 4 vec(i) . If the particle had a kinetic energy of 3 J at the beginning of the displacement

If the resultant of three forces vec F_1=p hat i+3 hat j- hat k , vec F_2=6 hat i- hat k and vec F_3=-5 hat i+ hat j+2 hat k acting on a parricle has magnitude equal to 5 units, then the value of p is a. -6 b. -4 c. 2 d. 4

Forces acting on a particle have magnitude of 14N, 7N and 7N act in the direction of vectors 6hat(i)+2hat(j)+3hat(k),3hat(i)-2hat(j) +6hat(k),2hat(i)-3hat(j)-6hat(k) respectively. The forces remain constant while the particle is displaced from point A: (2,-1,-3) to B: (5,-1,1). Find the work done. The coordinates are specified in meters.

Force acting on a particale is (2hat(i)+3hat(j))N . Work done by this force is zero, when the particle is moved on the line 3y+kx=5 . Here value of k is ( Work done W=vec(F).vec(d))

Force acting on a particale is (2hat(i)+3hat(j))N . Work done by this force is zero, when the particle is moved on the line 3y+kx=5 . Here value of k is ( Work done W=vec(F).vec(d))

If vectors vec a=2 hat i+2 hat j+3 hat k ,\ vec b=- hat i+2 hat j+ hat k and vec c=3 hat i+ hat j are such that vec a+lambda\ vec b is perpendicular to vec c , then find the value of lambda