1. The velocity vector in a two-dimensional flow is given by the expression v = 10e_x + 7xe_y m/s when x is measured in meters. Determine the component of the velocity that makes a 30° angle with the x axis at the point (2, 2).

2. Using the velocity vector of the previous problem, determine

(a) the equation of the streamline passing through point (2, 1);

(b) the volume of flow that crosses a plane surface connecting points (1, 0) and (2, 2).