The velocity of air approaching the rudder of an aircraft has magnitude 900 ft/s in the...

The velocity of air approaching the rudder of an aircraft has magnitude 900 ft/s in the y direction. The rudder rotates about line OA.

(a) The position vector from B to C has the x, y, and z direction cosines sin α, respectively. If the rudder is rotated so that determine the components, and vector components, of the air velocity in directions normal and tangent to the surface of the rudder.

(b) Using the geometry shown in Fig. P2.159, verify the direction cosines stated in Part (a).