3.3.34 Line and plane in space
condition: Find the points of intersection of the surface \[ 2 x y+x^{2}-y^{2}=z \text { and the straight line } \frac{x+2}{-1}=\frac{y-4}{1}=\frac{z+4}{-2} \text {. } \]
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.