an airplane has a speed of 600km/hr with respect to air. it has to fly a distance of 800km northward.in what direction should it fly if a steady wind is blowing at a speed of 120km/hr from the west?what will be its speed with respect to the ground be?draw the relative diagram of calculations.

Note : All the BOLD letters are vectors.

As we have to go north, we'd like to apply all our strength towards N.

i is a unit vector towards E (from W) and j is  unit vector towards N.

Let speed of plane w.r.t. ground be u

Speed of wind ( say w) = 120 i.

Speed of Plane w.r.t. air (say s) =  u  -  w   =  600 j.

Then,  u = s + w

u = 600 j + 120 i.............!!!!!

ans!!!