3.3.10 Line and plane in space
condition: Given points \( A(1: 2: 1), \quad B(2 ; 0 ;-1) \quad \) and \( C(0 ; 1 ; 0) \). Find the vector of the altitude of the triangle \( A B C \) dropped from the vertex \( A \).
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.