Find "h" & "k" Given a,b,c,d,f,g: Method Explained

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Some directed line segments are given by:

View attachment 5397if a,b,c,d,f,g are given (integers), by what method can i use to find h and k? Thanks...
 

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It holds that $\vec{OA}+\vec{AB}+\vec{BD}=\vec{OD}$.