Let

F =yi + 2zj + (1z)k

. Evaluate the following: (a) integral of F * dr whereCis a straight line from the origin to (1,3,1).

(b) integral of F * dA whereSis the rectangle 0x2, 1y4,z=0, oriented upwards.

(c) Integral of F * dA whereSis the sphere of radius 2 centered at the origin, oriented outwards.

Let F = yi + 2zj + (1-z) k . Evaluate the following: (a) F.dr where C is a straight line from the origin to (1,3,1). C X F.dA where S is the rectangle 0