An object is displaced from position vector `vec(r)_(1) = (2 hat(i) + 3 hat(j)) m` to `vec(r)_(2) == (4 hat(j) + 6 hat(k))m` under a force `vec(F) = (3 x^(2) hat(i) + 2y hat(j)) N`. Find the. work done this force.

An object is displaced from position vector vec(r_(1)) = (2hat(i) + 3 hat(j)) m "to" vec(r_(2)) = (4 hat(i) + 6 hat(j)) m under a force vec(F) = (3x^(2) hat(i) + 2y hat(j)) N. Find the work done by this force.

An object has a displacement from position vector vecr_(1) = (2 hat i+3hatj)m to vecr_(2) = (4hat i + 6 hat j)m under a force vec F = (3x^(2) hati + 2y hatj)N , then work done by the force is

A body is displaced from vec r_(A) =(2hat i + 4hatj -6hat k) to vecr_(B) = (6hat i -4hat j +3 hat k) under a constant force vec F = (2 hat i + 3 hat j - hat k) . Find the work done.

A particle is displaced from position vec(r )_(1) = (3hat(i) + 2hat(j) + 6hat(k)) to another position vec(r )_(2)= (14hat(i) + 13hat(j) + 9hat(k)) under the impact of a force 5 hat(i)N . The work done will be given by

A particle moved from position vec r_(1) = 3 hat i + 2 hat j - 6 hat k to position vec r_(2) = 14 hat i + 13 hat j + 9 hat k under the action of a force ( 4 hat i + hat j + 3 hat k) newton. Find the work done

Work done by a force F on a body is W = F .s, where s is the displacement of body. Given that under a force F = (2 hat I +3 hat j +4 hat k) N a body is displaced from position vector r_1 = (2 hat I +3 hat j + hat k) m to the position vector r_2 = (hat i +hat j+ hat k) m. Find the work done by this force.

If vec(a) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - vec(b)) .

The work done by the force vec( F ) = 6 hat(i) + 2 hat(j) N in displacing an object from vec( r_(1)) = 3 hat(i) + 8 hat( j) to vec( r_(2)) = 5 hat( i) - 4 hat(j) m , is

If vec(F ) = (60 hat(i) + 15 hat(j) - 3 hat(k)) N and vec(V) = (2 hat(i) - 4 hat(j) + 5 hat(k)) m/s, then instantaneous power is:

If vec(a) = hat(i) + 2 hat(j) + 3 hat(k) and vec(b) = 2 hat(i) + 3 hat(j) + hat(k) , find a unit vector in the direction of ( 2 vec(a) + vec(b)) .