EXERCISE (10.1)

(a) Write the dyatic tensor Vv in orthogonal curvilinear coordinates. Assume that the coordinates have unit vectors 1, 2, and 3, coordinates u, u, and u, and scale factors h, h2, and h3.

(b) Write the dyatic tensor Vrv for the special case of cylindrical coordinates u = r, u = o, and 3 = z with scale factors h = 1, h2 = r, and h3 = 1 and unit vectors =, = 4, and 3 = 2.