Final answer:
The reaction is a double-displacement reaction producing barium phosphate and lithium chloride.
Step-by-step explanation:
The reaction Li2(PO4) + BaCl2 → 2LiCl + Ba(PO4) is a type of double-displacement reaction (also known as a metathesis reaction), where the cations and anions of the two reactants switch places to form two new compounds. In this case, barium phosphate (Ba(PO4)) and lithium chloride (LiCl) are the products. To determine whether any of the products is insoluble and forms a precipitate, one would consult solubility rules. For instance, similar reactions show that barium sulfate (BaSO4) is insoluble, thus if BaSO4 were a product, it would precipitate. However, without specific solubility rules for barium phosphate provided, we can't conclude whether Ba(PO4) would precipitate without additional information.