A box is being pulled by three ropes as illustrated below. Given the known forces $\overrightarrow{F_1}$ = 200 N and $\overrightarrow{F_2}$ = 250 N, calculate the magnitude and direction of $\overrightarrow{F_3}$ necessary to maintain equilibrium.
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• A. magnitude = 1.6$\times$10² N, direction = 68° above the negative x-axis
• B. magnitude = 1.6$\times$10² N N, direction = 22° above the negative x-axis
• C. magnitude = 4.1$\times$10² N, direction = 68° below the negative x-axis
• D. magnitude = 4.1$\times$10² N, direction = 22° below the negative x-axis

Answer: (C)