An aircraft is initially flying north with wings level, then it starts maneuvering. at some instant in this maneuver, the aircraft’s attitude is given by the following euler angles: φ = 90◦, θ = 30◦, and ψ = −120◦. assume all are 0◦ initially. (a) describe the aircraft’s attitude in words (e. g., nose down or up; left wing down or right wing down; heading east, west, northwest, (b) what is the transformation matrix that takes a vector from the body frame to a vector in the earth frame? (c) if the aircraft weighs 35,000 lbs, what are the components of the force of gravity in the body frame, i. e. xgb, ygb and zgb? (d) if the aircraft’s center of mass is moving north at 175 knots, what are u, v and w?