Vectors in three dimensions, equations of lines and planes, and vector methods applied to geometric proof.
These are the statements the Mathematics Extension 2 syllabus makes about Vectors. Dux records each one against the questions you answer, so you can see which of them you have actually been tested on and which have never been asked.
Vector algebra in three dimensions, the dot product, and the geometric meaning of magnitude and direction in space.
Representing a line by a point and a direction, and identifying parallelism, intersection and skew lines.
Planes described by a point and a normal, the relationship between a line and a plane, and distances to a plane.
Using vector methods to prove geometric results in two and three dimensions without coordinates.
Motion along a curve using vectors, including velocity and acceleration components and the geometry of the path.
HSC Mathematics Extension 2 - Trial Paper Shape is 100 marks in 180 minutes. Questions on Vectors are not one shape repeated: the command word decides what the marker is looking for, and the mark value decides how much of it. These are the ones Mathematics Extension 2 uses.
Dux writes practice for this module in exactly these shapes, so the drill is the same task the paper sets — not a general knowledge quiz with the module name on it.
Vectors is module 2 of 6 in Mathematics Extension 2. Students routinely lose marks because a question spans two modules, so the neighbouring modules are worth reading next to this one.
Dux diagnoses Mathematics Extension 2 dot point by dot point, then writes questions in the shape this course marks. Written answers come back marked against the bands.