Support · Mathematics Extension 2 11–12 – Year 12 · Further work with vectors

Support Recognise r = rcos⁡(θ)i + rsin⁡(θ)j and (r) = r as vector equations of a circle in two dimensions with radius r centred at the origin

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.

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Prerequisite dot points

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.

Describe a position vector as a vector with its tail at the origin

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.