9.0 Lami's Theorem

Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear vectors which keeps an object in static equilibrium , with the angles directly opposite to the corresponding vectors. According to the theorem, if the resultant of the vectors is zero then the magnitude of the vector is directly proportional to the sine of the angles between the other two vectors. Mathematically, it is stated as $$\frac{{\overrightarrow a }}{{sin\alpha }} = \frac{{\overrightarrow b }}{{sin\beta }} = \frac{{\overrightarrow c }}{{sin\gamma }}$$