3.3.42 Line and plane in space
condition: Two planes pass through a given line. One of them passes through a given point \(A\), the second - through a given point \(B\). Find the equations of the planes that bisect the dihedral angles formed by these two planes. \[ \begin{array}{l} \frac{x+2}{7}=\frac{y-1}{-11}=\frac{z+4}{5} \\ A(2 ;-11 ; 3), \quad B(-10 ; 10 ;-12) . \end{array}\]
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.