Vector directed line segment and integral

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Let $\overrightarrow{F}$ =$\overrightarrow{i}$ +$\overrightarrow{j}$. How would you place a directed line segment C of length 1 in the xy-plane so that the work integral ∫$_{C}$ $\overrightarrow{F}$ · $\overrightarrow{d}$r is a maximum? a minimum? zero? What would the maximum and the minimum values of the integral be?