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In the Cartesian plane, O is the origin ...

In the Cartesian plane, O is the origin of the coordinate axes. A person starts at O and walks a distance of 3 units in the `NORTH-EAST` direction and reaches the point P. From P he walks 4 units distance of 3 parallel to `NORTH - WEST` direction and reaches the point Q. Express the vector `OQ` in terms of `i and j` (observe that `|(XOP)=45^@`).

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