3.4․19 Tangents and normals
condition: Find the equation of the tangent plane and the normal to the surface \( S \) at the point \( M_{0}(1,2,-3) \) \[ S: x^{2}+z^{2}-5 y z+3 y=46, \quad M_{0}(1,2,-3) \text {. } \]
Solving problems in three-dimensional space using tangents and normals, both straight lines and planes.