Select two X columns and two Y columns (or a range from these columns).
Select required data.
Select Plot > 2D: Vector: Vector XYXY.
Click the Vector XYXY button on the 2D Graphs toolbar.
VECTXYXY.OTP (installed to the Origin program folder).
The leftmost X and Y columns determine the XY coordinate of the tail of the vector. The second set of X and Y columns determine XY coordinate of the head of the vector.