Coplanar forces, of magnitudes $$\(F \mathrm{~N}, 3 \mathrm{~N}, 6 \mathrm{~N}\)$$ and $$\(4 \mathrm{~N}\)$$, act at a point $$\(P\)$$, as shown in the diagram. Given that $$\(\alpha=60\)$$, and that the resultant of the four forces is in the direction of the $$\(3 \mathrm{~N}\)$$ force, find $$\(F\)$$. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................

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