A force vector \(\vec{F}\) lies in the \({xy} \)-plane and makes an angle of \(30^\circ\) with the positive \({y}\text-\)axis, as shown in the figure. If the \({y}\text-\)component of the force is given as \(2\sqrt{3}~\text{N},\) what is the corresponding \({x}\text-\)component of the force?
           
1. \(2\sqrt{3}~\text{N} \)
2. \(2~\text{N}\)
3. \(3~\text{N}\)
4. \(3\sqrt{2}~\text{N} \)
Subtopic:  Resolution of Vectors |
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