Support · Mathematics Extension 2 11–12 – Year 12 · Further work with vectors
Support Examine and use r = a + λb as the vector equation of a straight line in two dimensions and three dimensions to solve problems, where r is the position vector of a point on the line, a is the position vector of a particular point on the line, b is a direction vector of the line and λ is a scalar parameter
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
Recognise AB⃗ = (u - xv - y) as the vector associated with the directed line segment from the point A(x,y) to B(u,v) in two dimensions
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
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.
Recognise AB⃗ = (u - xv - yw - z) as the vector associated with the directed line segment from A(x,y,z) to B(u,v,w) in three dimensions
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.