A two-dimensional reducing bend as shown is used to control flow rate and direction of flow in a home air conditioning duct. In the reducing bend shown, there is a linear velocity profile at section (1). The flow is uniform at sections (2) and (3). The fluid is incompressible and the flow is steady.
Make a table listing the correct values of the velocity vector, the normal vector, and dA or A for each control surface (1), (2), and (3).