An electric field in free space is given by E = xa_x + ya_y + za_z V/m. Find the work done in moving a 1-μC charge through this field

(a) From (1, 1, 1) to (0, 0, 0);

(b) From (ρ = 2, ϕ = 0) to (ρ = 2, ϕ = 90◦);

(c) From (r = 10, θ = θ₀) to (r = 10, θ = θ₀ + 180◦).