Anew pilot plans to fly directly north from oakland airport (i. e. oak) to seattle airport (i. e. sea) at an speed of 760.0 km/h, however a crosswind blows from west to east at 70.0 km/h altering the path of his flight (note: sea is directly n of oak). (a) draw a sketch of velocity vectors of plane, wind and actual path. (b) calculate the speed of plane relative to the ground, and the actual heading the plane ends up at (i. e. the angle off course relative to north). the following week the same pilot factors in the same speed of 760.0 km/h, the same crosswind blowing from the west to the east at 70.0 km/h, but this time heads in a certain direction from oak, so that the plane does end up in sea. (c) draw a sketch of velocity vectors of plane, wind and actual path. (d) calculate the angle of the new direction (relative to north) and the speed of the plane relative to the ground.