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 planetriple 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 planetriple product is definitely not covered
elaboratenah 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
on which part? finding the line or co-planarity (is that even a word)elaborate
also out of the papers u have done, which one have u found challenging? i need to go to sleep crying and sufferingelaborate
Any chance you have worked solutions for this? How fo you find the two perpendicular vectors with the given information?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 (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).
I think it goes like this:elaborate
im prob very wrong but for ii could u use one of the points on either line, and have the difference of direction vectors be the resultant direction? or have any point on both lines and just have that difference as the direction vector?I think it goes like this:
set the line equal to λ
(x-2)/2=(Y+1)/-1=(z-4)/3=λ
x=2λ+2, y=-λ-1, z=3λ+4
Now just put that in ijk notation and you've got your line equation
line = (2 -1 4) + λ(2 -1 3)
then prove coplanarity using what you said earlier, prove the vectors intersect or are parallel
no clue how to do ii though
bruh i am not that good at maths imma get 52 tmrwalso out of the papers u have done, which one have u found challenging? i need to go to sleep crying and suffering
brother ur getting high 80s I'm lucky if I touch 70sbruh i am not that good at maths imma get 52 tmrw
probably ruse/nsb are the hardest ones i've done? abbotsleigh was kinda hard as well
Any chance you have worked solutions for this? How fo you find the two perpendicular vectors with the given information?
HELP i thought 3 was enough. damn u rich to buy that many
Nice to see everyone is active on the day before the exam
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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
same i get around that too lol atp i just maximise the amount of marks i can get, though I'm sure it'll look better if u can get decent in e4 style questionsI've done the 2022 and 2021 hsc papers over the last couple of days and got a 60 and a 65, aligning to around 88-89, so just below an e4.
I would love to get up to an e4 but idk how to go about it. Should I focus on perfecting q11-14 or answering more of q15-16? for context I'm usually at or close to full marks for 11 and 12, around 8-12/15 for q13 and 14 and q15-16 varies a bit, mostly around 4-6/15. Also, how do you guys judge when to move on from a question? A couple of times in these papers I have made a small mistake/oversight on a question (usually a proof or something where I can double check my answer) and then gotten stuck trying to work out what I did wrong to no avail.
Is it worth my time to go after more marks in q15/16, or should I not worry about it and maximise what i get in the easier questions
There are two ways I know about in finding the equation of a plane:im prob very wrong but for ii could u use one of the points on either line, and have the difference of direction vectors be the resultant direction? or have any point on both lines and just have that difference as the direction vector?