Vectors — H2 Math prelim questions & worked solutions
In H2 Mathematics (9758), Vectors is examined in both papers and reliably carries a longer structured question worth 8–14 marks — the scalar product (angles, projections), the vector product (areas, normals), lines, and planes (foot of perpendicular, reflections, distances).Below are the real 2025 JC prelim vectors questions, each with a full worked solution and examiner notes. For guided help with these topics, see our JC H2 Maths tuition.
Anglo-Chinese Junior College · Paper 1Prove a vector is parallel to a plane and find the foot of perpendicular from a point.Dunman High School (DHS) · Paper 2Position vectors, line equation, collinearity, and angle between vectors via scalar product.Eunoia Junior College · Paper 2Line parallel to a plane, angle between lines, perpendicular distance, and reflecting a line in a plane.Hwa Chong Institution · Paper 1Perpendicular lines, line intersection, plane through three points, foot of perpendicular, and circle area.Meridian Junior College · Paper 1Ratio theorem, intersection of two lines, triangle area via cross product, and projection distance.Nanyang Junior College · Paper 1Prove a right angle using dot products and find a triangle's area via cross product.River Valley High School · Paper 2NEO trajectories: line-plane crossing, non-intersection condition, angle between lines, and shortest distance.St Andrew's Junior College · Paper 1Show two lines are skew, reflect a point in a plane, find a plane's equation.Temasek Junior College · Paper 1Ratio theorem, dot product, foot of perpendicular by projection, and triangle area via cross product.Tampines Meridian Junior College · Paper 1Drone and rooftop: reflecting a line in a plane, foot of perpendicular, and parallel planes.