(a) Two ships M and N, moving with constant velocities, have position vectors *(3 **i *+ 7 *j) *and (4 *i *+ 5 *J] *respectively. If the velocities ofM and N are (5 *i *+ 6)]
and ( *i+ *3 *J] *and the distance covered by the ships after t seconds are in meters, find

i)* MlJ*

(ii) *lN**fN**I, *when t = 3 seconds.

(b) A particle is acted upon by forces F 1 = 5 *i *+ *pj, *F2 = q r + *j, *F3 = -2p *i *+ 3 *j *and
F4 = -4 *i *+ qj, where p and q are constants. If the particle remains in equilibrium
under the action of these forces, find the values ofp and q.

(b) A particle is acted upon by forces F 1 = 5 *i *+ *pj, *F2 = q r + *j, *F3 = -2p *i *+ 3 *j *and
F4 = -4 *i *+ qj, where p and q are constants. If the particle remains in equilibrium
under the action of these forces, find the values ofp and q.