Vectors — H2 Maths 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 · 2025 · Paper 1Prove a vector is parallel to a plane and find the foot of perpendicular from a point.●●○Dunman High School (DHS) · 2025 · Paper 2Position vectors, line equation, collinearity, and angle between vectors via scalar product.●●○Eunoia Junior College · 2025 · Paper 2Line parallel to a plane, angle between lines, perpendicular distance, and reflecting a line in a plane.●●●Hwa Chong Institution · 2025 · Paper 1Perpendicular lines, line intersection, plane through three points, foot of perpendicular, and circle area.●●●Meridian Junior College · 2025 · Paper 1Ratio theorem, intersection of two lines, triangle area via cross product, and projection distance.●●○Nanyang Junior College · 2025 · Paper 1Prove a right angle using dot products and find a triangle's area via cross product.●●○River Valley High School · 2025 · Paper 2NEO trajectories: line-plane crossing, non-intersection condition, angle between lines, and shortest distance.●●●St Andrew's Junior College · 2025 · Paper 1Show two lines are skew, reflect a point in a plane, find a plane's equation.●●○Temasek Junior College · 2025 · Paper 1Ratio theorem, dot product, foot of perpendicular by projection, and triangle area via cross product.●●○Tampines Meridian Junior College · 2025 · Paper 1Drone and rooftop: reflecting a line in a plane, foot of perpendicular, and parallel planes.●●●