A person walks `2sqrt(2)` units away from origin in south west direction `(S45^(@)W)` to reach `A`, then walks `sqrt(2)` units in south east direction `(S45^(@)E)` to reach `B`. From `B` he travel is `4` units horizontally towards east to reach `C`. Then he travels along a circular path with centre at origin through an angle of `2pi//3` in anti-clockwise direction to reach his destination `D`.
Position of `D` in argand plane is (`w` is an imaginary cube root of unity)
A. `(3+i)omega`
B. `-(1+i)omega^(2)`
C. `3(1-i)omega`
D. `(1-3i)omega`