HSC Extension Two Maths Vectors Exam

Use arrows on the side of the screen to move between pages.

Important: These tests take time to write, if you’re in a position consider buying me a coffee so I can keep doing this in the long term.

Below is a skills checklist I wrote based on the syllabus, if you can do everything listed below you should be in a good position for both your school’s vectors test and the vectors questions in the HSC.

  • Understand basic notations and operations in three dimensions

  • Calculate the magnitude of a three dimensional vector

  • Convert a vector into a unit vector by dividing by its length

  • Understand the dot product in three dimensions

  • Prove geometric results using vectors

  • Understand the equations of spheres

  • Use vector equations of curves involving a parameter

  • Understand the vector equation of a line