1. The velocity vector in a two-dimensional flow is given by the expression v = 10ex + 7xey 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).