3.3.28 Line and plane in space

Condition: Given a plane \( \quad \gamma: x-2 y+3 z-5=0 \quad \) and points \( A(1,-1,-2), B(3,1,1) \). a) Find the distance from the point \( B(3,1,1) \) to the plane \( \gamma \). b) Determine whether the vector \( \overline{A B} \) is perpendicular to the plane \( \gamma \)? c) Write an equation for the plane that passes through the points \( A(1,-1,-2), B(3,1,1) \) perpendicular to the plane \( \gamma \).