Let \( \alpha x + \beta y + yz = 1 \) be the equation of the plane passing through the point \( (3, -2, 5) \) and perpendicular to the line joining the points \( (1, 2, 3) \) and \( (-2, 3, 5) \). Then the value of \( \alpha \beta \gamma \) is equal to ______.
