The products of the neutralization reaction between hydrochloric acid (HCl) and magnesium hydroxide (Mg(OH)₂) are:

* Magnesium chloride (MgCl₂) - a salt

* Water (H₂O)

Here's the balanced chemical equation for the reaction:

2 HCl + Mg(OH)₂ → MgCl₂ + 2 H₂O

Explanation:

* In a neutralization reaction, an acid (HCl) reacts with a base (Mg(OH)₂) to form a salt and water.

* The hydrogen ions (H⁺) from the acid combine with the hydroxide ions (OH⁻) from the base to form water molecules (H₂O).

* The remaining ions, magnesium (Mg²⁺) and chloride (Cl⁻), combine to form the salt, magnesium chloride (MgCl₂).