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A man walks a distance of 3 units from t...

A man walks a distance of 3 units from the origin towards the North-East `(N45^0E)` direction.From there, he walks a distance of 4 units towards the North-West `(N45^0W)` direction to reach a point `Pdot` Then, the position of `P` in the Argand plane is `3e^((ipi)/4)+4i` (b) `(3-4i)e^((ipi)/4)` `(4+3i)e^((ipi)/4)` (d) `(3+4i)e^((ipi)/4)`

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A man walks a distance of 3 units from the origin towards the North-East (N45^0E) direction.From there, he walks a distance of 4 units towards the North-West (N45^0W) direction to reach a point Pdot Then, the position of P in the Argand plane is (a) 3e^((ipi)/4)+4i (b) (3-4i)e^((ipi)/4) (4+3i)e^((ipi)/4) (d) (3+4i)e^((ipi)/4)

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The real part of e^((3+4i)x) is