Gravitational law and vector formHard

Angular Momentum of Colliding Masses

Three equal masses m are kept at vertices (A, B, C) of an equilateral triangle of side a in free space. At t = 0, they are given an initial velocity ${\vec V_A} = {V_0}\overrightarrow {AC\,}$ , ${\overrightarrow V _B} = {V_0}\overrightarrow {BA}$ and ${\vec V_C} = {V_0}\overrightarrow {CB\,}$ . Here, $\overrightarrow {AC} ,\overrightarrow {CB}$ and $\overrightarrow {BA\,}$ are unit vectors along the edges of the triangle. If the three masses interact gravitationally, then the magnitude of the net angular momentum of the system at the point of collision is :

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