3.3.28 Line and Plane in Space

Condition: given the plane \ (\ quad \ gamma: x-2 y+3 z-5 = 0 \ quad \) and points \ (a (1, -1, -2), b (3.1,1,1) \). a) Find the distance from the point \ (b (3.1,1) \) to the plane \ (\ gamma \). b) determine whether the vector \ (\ overLine {a b} \) plane \ (\ gamma \) is perpendicular? c) compose the equation of the plane, which passes through the points \ (a (1, -1, -2), b (3.1,1) \) perpendicular to the plane \ (\ gamma \).