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Maths Ext 2 Predictions (3 Viewers)

appleali

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guys i been getting around high 80s for some trial papers (nsb, sths, ruse)
how difficult are these papers in comparison to hsc?
 

C2H6O

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guys i been getting around high 80s for some trial papers (nsb, sths, ruse)
how difficult are these papers in comparison to hsc?
I find most trial papers from those schools to be somewhat harder than the HSCs, if you're getting high 80s that's sounding optimistic
 

appleali

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I find most trial papers from those schools to be somewhat harder than the HSCs, if you're getting high 80s that's sounding optimistic
class
although it’s worth mentioning the sths one was comparatively quite easy
 

Trebla

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What the word "plane" even means is is not in syllabus, so unless its heavily scaffolded your suggestion that they derive the cartesian equation of the plane through the point normal form is silly. Unless they explicitly give you the formula n.(x-a) = 0 lmao.
Actually, the word "plane" is used everywhere in HSC Maths e.g. "complex plane", "x-y plane" or "inclined plane". It's even in one of the vector topic dot points:
1729400604000.png
Seems pretty obvious that students are expected to know what the word "plane" actually means.

Even if they don't explicitly use the word "plane" there is no reason why they can't just synonymously label it as a region or a set of points in the number space that satisfies a set of conditions.

What I mean in my earlier post is that there is nothing stopping them technically asking something like this:
1729401114384.png

If we honestly think they can't use the word "plane", then what's stopping them replacing the word "plane P" with "region R" or "a set of points P"?

The point is that students can answer this question with the tools they have within the syllabus and it doesn't require knowledge outside the syllabus (i.e. notice it's not asking you to recall the equation of a plane). All you need to do is compute the dot product of two perpendicular vectors (with a bit of work to figure out what those vectors are) to derive the result. This is simply an "application" of something in the syllabus to explore something unfamilar.

If you want to dismiss this as being "outside of syllabus", then you do so at your own risk. The HSC exams have time and time again proven otherwise throughout history because they can sneakily lean on this "application" side of the syllabus (which is why Ext2 has this reputation for being so challenging in the first place).
 

IStrokeItDaily69

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Actually, the word "plane" is used everywhere in HSC Maths e.g. "complex plane", "x-y plane" or "inclined plane". It's even in one of the vector topic dot points:
View attachment 45037
Seems pretty obvious that students are expected to know what the word "plane" actually means.

Even if they don't explicitly use the word "plane" there is no reason why they can't just synonymously label it as a region or a set of points in the number space that satisfies a set of conditions.

What I mean in my earlier post is that there is nothing stopping them technically asking something like this:
View attachment 45039

If we honestly think they can't use the word "plane", then what's stopping them replacing the word "plane P" with "region R" or "a set of points P"?

The point is that students can answer this question with the tools they have within the syllabus and it doesn't require knowledge outside the syllabus. All you need to do is compute the dot product of two perpendicular vectors to derive the result.
so holloway or topuria?
 

appleali

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Actually, the word "plane" is used everywhere in HSC Maths e.g. "complex plane", "x-y plane" or "inclined plane". It's even in one of the vector topic dot points:
View attachment 45037
Seems pretty obvious that students are expected to know what the word "plane" actually means.

Even if they don't explicitly use the word "plane" there is no reason why they can't just synonymously label it as a region or a set of points in the number space that satisfies a set of conditions.

What I mean in my earlier post is that there is nothing stopping them technically asking something like this:
View attachment 45039

If we honestly think they can't use the word "plane", then what's stopping them replacing the word "plane P" with "region R" or "a set of points P"?

The point is that students can answer this question with the tools they have within the syllabus and it doesn't require knowledge outside the syllabus. All you need to do is compute the dot product of two perpendicular vectors to derive the result. This is simply an "application" of something in the syllabus to explore something unfamilar.

If you want to dismiss this as being "outside of syllabus", then you do so at your own risk. The HSC exams have time and time again proven otherwise throughout history because they can lean on this "application" side of the syllabus (which is why Ext2 has this reputation for being so challenging in the first place).
at this point is it worth it learning it
 

Trebla

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at this point is it worth it learning it
You don't need to "learn" about the equations of planes per se, but you shouldn't be surprised if something like this pops up the in HSC. The only thing to "learn" is really to broaden your familiarity with applications of dot product.
 

C2H6O

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PHOTO-2024-07-30-16-39-29.jpg

I got this question in one of my school's past papers... No clue how to do any of it, so if it comes up in the exam tmr I'm cooked
 

appleali

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View attachment 45049

I got this question in one of my school's past papers... No clue how to do any of it, so if it comes up in the exam tmr I'm cooked
if you think about it, for i you can show coplanarity by showing either:
- the lines are parallel
- the lines intersect at a point
 

K2Trappy

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triple product is definitely not covered
nah it was in my school trials, u basically let some parameter equal each of the components, so for x => 2a+2 then u get ur vector line, and show direction vectors are parallel which implies same plane
 

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