Offset multipoint force vector math formula to move an object (barge on water)

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I have a rectangular 1000kg barge on still water and no wind with center of mass C.

I can apply force at corners A and B only.

How much and at what direction should force be applied at points A and B to move the barge sideways in the direction of the arrow?

How can I solve this problem?

Thank you, Gil

Vector math setup