The present invention relates to a support system for determining a trajectory to be followed by an agricultural work vehicle when weeding distinct areas of weed within a field of crops, said system comprises:a mapping unit configured for receiving:i) coordinates relating to the boundaries of a field to be worked； andii) coordinates relating to the boundaries of distinct areas of weed being located within said boundary of said field of crops；a capacity parameter unit configured for receiving one or more capacity parameters relating to said working vehicle；a trajectory calculating unit configured for calculating an optimized trajectory to be followed by said work vehicle upon weeding said distinct areas of weed； wherein said optimized trajectory is being calculated on the basis of said coordinates received by said mapping unit； and one or more of said one or more capacity parameters received by said capacity parameter unit.
