Support · Mathematics Extension 2 11–12 – Year 12 · Further work with vectors
Support Establish the relationship between the gradient, m, of a straight line in two dimensions and its direction vector
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
Identify and use notation for vectors in both two dimensions and three dimensions, including a, a∼ and AB⃗, where AB⃗ is the vector with magnitude and direction those of the directed line segment from A to B
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
Establish and calculate the magnitude of a vector using (xi + yj) = √(x² + y²) for 2D vectors and (xi + yj + zk) = √(x² + y² + z²) for 3D vectors
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
Use the magnitude of a vector to find the unit vector â = 1/(a)a in two dimensions and three dimensions
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.