A man walks a distance of 3 units from the origin towards the north-east $$(N 45^\circ E)$$ direction. From there, he walks a distance of 4 units towards the north-west $$(N 45^\circ W)$$ direction to reach a point P. Then the position of P in the Argand plane is

A

$$3e^{\frac{i \pi}{4}} + 4i$$

B

$$(3 - 4i)e^{\frac{i \pi}{4}}$$

C

$$(4 + 3i)e^{\frac{i \pi}{4}}$$

D

$$(3 + 4i)e^{\frac{i \pi}{4}}$$