Constructing a normal vector for the tangent plane / hyperplane — IITM BS previous year questions

Constructing a normal vector for the tangent plane / hyperplane is part of Tangent Plane / Tangent Hyperplane, Week 10 in Mathematics 2. Prasnya files every IIT Madras BS previous year question from this subtopic here, each one with a worked explanation. Take the whole set as a timed mock and you get accuracy, pacing and per-question analysis back.