A model airplane is flying horizontally due southsouth at 4444 mi/hr when it encounters a horizontal crosswind blowing westwest at 4444 mi/hr and a downdraft blowing vertically downward at 2222 mi/hr. a. Find the position vector that represents the velocity of the plane relative to the ground. b. Find the speed of the plane relative to the ground. a. Let the unit vectors i, j, and k point east, north, and upward, respectively. Begin by writing vectors describing the velocity of the plane relative to the air, the crosswind, and the downdraft. Find the vectors representing the velocity of the plane relative to the air v Subscript ava, the velocity of the horizontal crosswind v Subscript wvw, and the velocity of the vertical downdraft v Subscript dvd. v Subscript avaequals=(nothing )00iplus+(nothing )−44negative 44jplus+(nothing )0k