An electric field is given by `E=(y hati+x hatj)NC^(-1)`. The work done in moving a 1C charge from `r_(A)=(2hati + 2hatj)m" to "r_(B)=(4hati+2hatj)m` is

A uniform force of (5hati +5hatj)N acts on particle of mass 1 kg. The particle moves from r_1 = (3hati + 4hatj)m to r_2 = (5hati + 8hatj) m under this force. The work done by this force is

A uniform force of (5hati +5hatj)N acts on particle of mass 1 kg. The particle moves from r_1 = (3hati + 4hatj)m to r_2 = (5hati + 8hatj) m under this force. The work done by this force is

A force barf=(hati-3hatj+2hatk)N moves a particle from bar r_(1)=2hati+7hatj+4hatk)m to (barr_(2)=(5hati+2hatj+8hatk)m . The work done by the force is

Find the shortest distance between the lines bar(r) = (4hati - hatj) + lamda(hati + 2hatj - 3hatk) and bar(r) = (hati - hatj + 2hatk) + mu(hati + 4hatj - 5hatk).