VCE Specialist Mathematics Area of Study 5: Space and measurement

Past VCAA exam questions for VCE Specialist Mathematics Area of Study 5: Space and measurement, sorted by difficulty and filterable by topic, year and question type.

190 past VCAA questions, 2016–2025.

Topics in this area of study

• Antidifferentiation of vector functions
• Cartesian equation of a line
• Differentiation of vector functions
• Intersection and meeting of particles
• Linear dependence and independence
• Magnitude and unit vectors
• Normals to planes via cross product
• Parallel and perpendicular vectors
• Parametric and Cartesian equations of planes
• Parametric equations of curves
• Paths of particles in space
• Position vector as function of time
• Position vectors and resolution
• Scalar (dot) product and resolutes
• Vector (cross) product in three dimensions
• Vector addition, subtraction, scalar multiplication
• Vector equation of a line
• Vector equation of a plane
• Vector kinematics in two and three dimensions
• Vector proofs of geometric results