Support · Mathematics Extension 2 11–12 – Year 12 · Further work with vectors
Support Identify r = p + λ(q - p) as one possible vector equation for the straight line through points P and Q, where p and q are the position vectors of P and Q respectively, noting its equivalence with the form r = λq + (1 - λ)p, and establish the correspondence between the value of λ and the position of the point specified by it along the line
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
Find the position vector and the velocity vector of an object using integral calculus given its acceleration vector
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
Describe the position of an object at a point in 2D space using a vector
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.