Support · Mathematics Extension 2 11–12 – Year 12 · Further work with vectors
Support Determine whether two distinct lines r_1 = a_1 + λ_1b_1 and r_2 = a_2 + λ_2b_2 in three dimensions intersect, and if so, find the unique value of either λ_1 or λ_2 corresponding to the point of intersection and determine its coordinates
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.
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Prerequisite dot points
Establish that the reflection of a point in the line y = x reverses the coordinates of the point
Mathematics Extension 1 11–12 – Year 11 · Further work with functions 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.
Solve inequalities involving rational expressions with variables in the denominator
Mathematics Extension 1 11–12 – Year 11 · Further work with functions Draft mapping
No checked resources on this prerequisite dot point yet.