Support · Mathematics Extension 2 11–12 – Year 12 · Applications of calculus to mechanics
Support Recognise that forces are vector quantities, analyse concurrent forces on a body by resolving them into perpendicular components and use vector projections to determine how much of a given force acts in a given direction in both 2D and 3D contexts
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Define the projection of a vector a onto a vector b, denoted by proj_ba, to be the vector component of a in the direction of vector b
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
Determine that the component of a vector a perpendicular to another vector b is a - proj_ba
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
Establish a⋅b = 0 as a condition for two non-zero vectors a and b to be perpendicular to each other and use it to determine if two vectors are perpendicular
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.