Support · Mathematics Extension 2 11–12 – Year 12 · Introduction to complex numbers

Support Identify and use the condition for two complex numbers z_1 and z_2 to be equal, that is z_1 = z_2 if and only if Re(z_1) = Re(z_2) and Im(z_1) = Im(z_2)

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

Identify (b - a) and (- ba) as vectors perpendicular to (ab) and with equal magnitude

Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping

No checked resources on this prerequisite dot point yet.

Establish a⋅b = 0 as a condition for two non-zero vectors a and b to be perpendicular to each other and use it to determine if two vectors are perpendicular

Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping

No checked resources on this prerequisite dot point yet.

Recognise and use the fact that two vectors are equal if they have the same magnitude and direction to solve problems

Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping

No checked resources on this prerequisite dot point yet.