Anglo-Chinese Junior College
Prove a vector is parallel to a plane and find the foot of perpendicular from a point.
Open question & worked solutionFree practice / JC2 H2 Maths Prelim
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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.
Select a question to see the full problem and solution.
Prove a vector is parallel to a plane and find the foot of perpendicular from a point.
Pos. vectors; collinearity; angle
Parallel to plane; reflection
Perpendicular lines, line intersection, plane through three points, foot of perpendicular, and circle area.
Line intersection; area; proj.
Right angle; cross product
Contextual trajectories; angle; distance
Skew lines; reflection; plane
Ratios; foot of perp; area
Drone rooftop; parallel planes
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