AP and TS EAMCET Engineering Model Paper 14

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 parallel to NORTH-WEST direction and reaches the point Q, then the vector OQ in terms i and j (∠XOP = 45°) is