3.3.26 Line and plane in space
condition: Given points \( A(1,0,2), B(2,1,1), C(0,1,0) \) : a) calculate the area of the triangle \( A B C \); b) find the length of the altitude of the triangle \( A B C \) dropped from the vertex \( A \); c) find out whether there is a plane passing through the origin and containing the points \(A, B, C\).
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.