Chapter 14.5, Problem 53E

Paddle wheel in a vector field Let F =  〈z, 0, 0〉  and let n be a unit vector aligned with the axis of a paddle wheel located on the x-axis (see figure).

a.    If the paddle wheel is oriented with n = (1, 0, 0), in what direction (if any) does the wheel spin?

b.    If the paddle wheel is oriented with n = (0, 1, 0), in what direction (if any) does the wheel spin?

c.    If the paddle wheel is oriented with n = (0, 0, 1), in what direction (if any) does the wheel spin?