Final answer:
The products of the double replacement reaction between BaCl2 and MgSO₄ are BaSO₄ and MgCl₂.
Step-by-step explanation:
In the double replacement reaction between BaCl2 and MgSO₄, the cations and anions will switch partners. This means that Ba²+ will combine with SO₄²- to form BaSO₄, and Mg²+ will combine with Cl¯ to form MgCl₂. Therefore, the products of the reaction are BaSO₄ and MgCl₂.