3.3.38 Line and plane in space
condition: Compose equations of planes passing through the point \( M_{0}(-1 ; 4 ; 2) \) a) parallel to the plane \( 3 x+5 y-2 z-3=0 \) b) parallel to the vectors \( \bar{a}=(0 ; 3-2), \bar{b}(4-1 ; 3) \); c) and points \( M_{1}(1 ; 4 ; 3), M_{2}(-2 ; 1 ; 5) \).
Straight lines and planes in space. Intersection of lines and planes, calculation of the distance of a line and a plane, angles between lines and planes, finding equations of lines and planes in space, and much more.