Find, in terms of $$\(t\)$$, the position vector of particle $$\(A\)$$ at time $$\(t\)$$. Particle $$\(B\)$$ starts from the point $$\((2 \sqrt{3}, 9)\)$$ at time $$\(t=0\)$$. It moves with constant speed $$\(\frac{5}{3} \mathrm{~ms}^{-1}\)$$ parallel to the positive $$\(x\)$$-axis.

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