3.3.17 Line and plane in space
Condition: Given triangle vertices \( A(1,0,2) \), \( B(1,2,2) \) and \( C(5,4,6) \). The point \( L \) divides the segment \( A C \) in the ratio \( \lambda=1 / 3, \quad C E \)-median drawn from the vertex \( C \). Find the coordinates of the point \( M \) of intersection of the lines \( (B L) \) and \( (C E) \).
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.