7.12 Differential geometry

Problem: For a curve given parametrically, find: 1. Vectors of the accompanying trihedron at the point \( t=t_{0} \); 2. Planes and lines of the accompanying trihedron at the point \( t=t_{0} \); 3. Tangent lines parallel to coordinate planes; 4. Contiguous planes perpendicular to the coordinate axes; 5. Curvature and torsion of a curve at the point \( t=t_{0} \)