Final answer:
To evaluate the line integral, solve the given equation for the vector Ċ, substitute the values of A and B, and find the magnitude of C using Equation 2.21.
Step-by-step explanation:
To evaluate the line integral, we first need to solve the given equation for the vector Ċ. Then, we substitute the values of A and B and group the terms along each direction. This allows us to identify the scalar components Cx, Cy, and C₂. Finally, we substitute these values into Equation 2.21 to find the magnitude of C.