Here two different rules apply, both from left to right and from top to bottom. .
1. The arrows: In Field 3, only arrows are shown which are not in the same position in Field 1 and Field 2. Please look at Row 1. The arrow pointing towards the upper left appears in Field 1 and Field 2. It does not appear in Field 3. The arrow pointing towards the bottom left appears only in Field 1, the one pointing towards the bottom right appears only in Field 2. Field 3 shows an arrow pointing towards the bottom left and an arrow pointing towards the bottom right. Arrows pointing in the same position cancel one another!
2. The lines: Only the lines which are in the same position in Fields 1 and 2 appear in Field 3. Please look at Row 1. In Field 1, there is a line pointing towards the right. In Field 2 there is a line pointing towards the left. In both fields there is a line pointing downward. Only the downward-pointing line appears in Field 3. Lines pointing in different directions cancel one another!
3. What is the solution for Row 3? In Fields 1 and 2 both arrows are pointing in the same direction. Therefore: cancellation. There is accordingly no arrow in Field 3. The lines in Fields 1 and 2 are not in the same position. Therefore there is no addition, and there are no lines in Field 3. In other words: no arrows, no lines.
The solution is therefore (B).