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So if you wrote it out in full it would be \text{Area of triangle spanned by } \overrightarrow{OA},\overrightarrow{OB}\text{ is} \textstyle\frac{1}{2}|\overrightarrow{OA}\times\overrightarrow{OB}|=\frac{1}{2}\left|\begin{vmatrix}\bold i&\bold j&\bold...

The question also said "or otherwise" You just gave an "otherwise" method. Don't know if they would award full marks for it. They should though. The otherwise method is much easier too.

It can be done in 7 dimensions too: https://en.wikipedia.org/wiki/Seven-dimensional_cross_product

Ever heard of the shoelace formula? Some people viewing this would instantly recognise a1b2-a2b1 as being a determinant. The result in this paper can be generalised to find areas of polygons, not just triangles: https://en.wikipedia.org/wiki/Shoelace_formula "Shoelace formula" is really a...

this post: https://community.boredofstudies.org/threads/mathematics-extension-1-predictions-thoughts.405500/post-7514989 (post #110) page 6

Well that's the danger of being the first to be out with solutions. They will be first to be wrong too.

lucid's solutions are attached. epicmaths also put up his solutions in this post https://community.boredofstudies.org/threads/teacher-pov-2023-hsc-extension-1-solution-speedrun-send-help.405894/post-7515199 which was from the youtube I haven't checked these so some may be wrong.

2023 eco paper attached

In the physical copy of yesterday's Sydney Morning Herald they included a photo of Xu's solution to 16c. But stupidly it's cropped and you can't see a lot of it. Here is a better photo uncropped.

Yeah. That's right.

epicmaths solutions is at https://community.boredofstudies.org/threads/live-pov-2023-extension-2-maths-paper-except-you-are-the-teacher-seeing-it-for-the-first-time.405811/post-7513591 It's a pdf made from last night's live youtube. The youtube goes for 3 hours 18 minutes and 14 seconds. Here...

More solutions by epicmaths is at https://community.boredofstudies.org/threads/live-pov-2023-extension-2-maths-paper-except-you-are-the-teacher-seeing-it-for-the-first-time.405811/post-7513591 It is from screenshots from last night's epic 3 hour live youtube. The pdf is much quicker to look at!

Here is a pdf of screenshots from last night's youtube solutions. It will only take a minute to look through it instead of 3 hours! Note there are some wrong like 16c is not the whole third quadrant etc. There are probably a few too many pages because there is some overlay which sometimes...

This is extension 2 right? Multiple valid methods are plentiful in extension 2, maybe less so in the Standard courses. So there are no surprises that there be variations in methods for extension 2 solutions.

mok inserted a validation that 10 is B by Professor Brailey Sims: (By validation we mean we don't just say it's not A,C nor D ∴ it is B. We actually give a reason for why it is B) However I have a much easier validation which I did yesterday by way of an example: Hence the answer to Q10 is B

There is another video for 16c by mok here too: and updated mok solutions here and he changed his Q10 answer to B: https://www.dropbox.com/scl/fi/qwrq...-Mok.pdf?rlkey=idnadofksn2n9ehpi3ogtefsh&dl=0

For 16c there is a video by James Ruse student Vivian Xu which might help: https://www.mediafire.com/file/5u3gb0x75fhxcen/Watch+student+Vivian+Xu+solve+one+of+the+hardest+HSC+maths+questions.mp4/file and also an associated article attached too

Mathematics Standard 1 and 2, Mathematics Advanced and Mathematics Extension 2 are up now

nesa's version: https://educationstandards.nsw.edu.au/wps/portal/nesa/resource-finder/hsc-exam-papers/2023/mathematics-standard-2023-hsc-exam-pack This also includes the standard 1 paper too

nesa's version is up: https://educationstandards.nsw.edu.au/wps/portal/nesa/resource-finder/hsc-exam-papers/2023/mathematics-extension-2-2023-hsc-exam-pack