Support · Mathematics Extension 2 11–12 – Year 12 · Further work with vectors
Support Examine and use properties of the scalar (dot) product, including commutativity (a⋅b = b⋅a), distributivity (a⋅(b + c) = a⋅b + a⋅c) and scalar multiplication (k(a⋅b) = (ka)⋅b = a⋅(kb))
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
Define a⋅b = x_1x_2 + y_1y_2 as the scalar (dot) product of vectors a = x_1i + y_1j and b = x_2i + y_2j and use the scalar product to solve problems
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
Define a⋅b = x_1x_2 + y_1y_2 + z_1z_2 as the scalar product of vectors a = x_1i + y_1j + z_1k and b = x_2i + y_2j + z_2k and use the scalar product to solve problems
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
Define a scalar as a real number that is used to multiply a vector
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.