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A man walks a distance of 3 units from the origin towards the North-East ( \( \left.45^{\circ} \mathrm{E}\right) \) direction. From there,
\( \mathrm{P} \) he walks a distance of 4 units towards the North-West

W ( \( \mathrm{N} 45^{\circ} \mathrm{W} \) ) direction to reach a point \( P \). Then, the position of \( P \) in the Argand plane, is
[IIT-JEE 2007, 3M]
(a) \( 3 e^{i \pi / 4}+4 i \)
(b) \( (3-4 i) e^{i \pi / 4} \)
(c) \( (4+3 i) e^{i \pi / 4} \)
(d) \( (3+4 i) e^{i \pi / 4} \)
(where \( i=\sqrt{-1} \) )
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