(Solved): Resolve a force, \( |\overrightarrow{\mathbf{F}}|=150 \mathrm{~N} \), into component vectors with ...

Resolve a force, \( |\overrightarrow{\mathbf{F}}|=150 \mathrm{~N} \), into component vectors with directions indicated by the dashed lines \( \theta_{1}=40^{\circ} \) and \( \theta_{2}=30^{\circ} \). Determine magnitudes of each direction. (Above figure is not in scale.) \[ \begin{array}{l} \left|\vec{F}_{1}\right|=\quad \mathrm{N} \\ \left|\overrightarrow{\mathbf{F}}_{2}\right|= \end{array} \]