A uniform vector field, F(f,), has magnitude Fo and points in the direction, a) Write an expression for this field. Consider the following structures. A spherical shell of radius, A, s {r e E x +y +z = A?} A tilted plane formed by rotating the x-y plane 45 about the x-axis. P { e E'ly-z=0} A semi-circular contour, C, formed from the intersection, c{ e E e (SnP) and y> Objective: To calculate the line integral of F(r,) along C, starting at i = A and ending at Fmd =-A b) Define a parameter, u, and write the cartesian coordinates of the curve, C. c) Write the differential line element in terms of the parameterization. d) Write the line integral before any simplifications, substituting result from (a), (b) and (c).