We have two forces \( \mathbf{F}_1 \) and \( \mathbf{F}_2 \) with known magnitudes and directions. We need to find the magnitude and direction of \( \mathbf{F}_3 \) such that the resultant force is zero.
Given:
\[ \mathbf{F}_1 = 180 \text{ lb} \]
\[ \mathbf{F}_2
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