3.3.43 Line and plane in space
Condition: A ray of light goes along the straight line \(L_{1}\), defined as the line of intersection of two planes, and is reflected from the straight line \(L_{2}\), also defined as the line of intersection of two planes. Find the directing vector of the straight line along which the reflected ray will go. \[ \begin{array}{l} L_{1}:\left\{\begin{array}{c} x+y-z-2=0 \\ 3 x+2 y+3 z-13=0 \end{array}\right. \\ L_{2}:\left\{\begin{array}{l} x+18 y-2 z-85=0 \\ 2 x+15 y-z-71=0 \end{array}\right. \end{array}\]
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.