3.3.27 Line and Plane in Space
Condition: Planes are given \ (\ quad \ alpha: 2 x-y+3 z-1 = 0 \), \ (\ beta: x+2 y+z = 0 \). Find: a) the angle between the planes \ (\ alpha \) and \ (\ beta \); b) the coordinates of at least one vector parallel (simultaneously) planes \ (\ alpha \) and \ (\ beta \) c) compile an equation of the plane perpendicular to the planes \ (\ alpha, \ beta \) and passing through the beginning of the coordinates.
Straight Lines and Planes in Space. Intersection of Lines and Planes, Calculation of the Distance of a Line and Plane, Angles Between Lines and Planes, Finding Equations of Lines and Planes in Space, and Much More.