# Hardest Topic - New syllabus (1 Viewer)

#### pine-apple01320

##### New Member
Which topic do you think is the hardest in the new syllabus for 4u maths?

#### jarodphillips_

##### New Member
some of the proof questions are crazy

#### blyatman

##### Well-Known Member
Yeh I'd second that, some proofs questions I've seen are insanely difficult. However, given that it's a new topic, nobody knows the difficulty of the proof questions that will be turn up in the actual HSC. As a result, I think textbooks which have super difficult problems are merely covering their bases in case students get tested on some extremely difficult problems.

#### ewjfiwhelowaeoplg

##### New Member
Vectors <= Mechanics < Integration < Complex Numbers <<<<<<< Proof

(Both the topics themselves and typical exam questions)

#### po45gp]sedorgmjkpoerdjgf

##### New Member
Vectors <= Mechanics < Integration < Complex Numbers <<<<<<< Proof

(Both the topics themselves and typical exam questions)
Wouldnt be so sure vectors will be easy. Alot of material in textbooks is, but the actual stuff they put up is nothing like whats in the textbooks.

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#### po45gp]sedorgmjkpoerdjgf

##### New Member
I'm only about a third done with course but I'd say probably integration<(Mechanics+complex numbers)<vectors<proofs

#### HeroWise

##### Active Member
Someoen put insanely difficult proof question uwu

#### ewjfiwhelowaeoplg

##### New Member
Yeah I think you are right.

Almost all hard vector questions will probably derive from this dot point:
• prove geometric results in the plane and construct proofs in three dimensions

#### CM_Tutor

##### Well-Known Member
You can be given vectors questions in projectiles that make things challenging

#### 5uMath

##### Member
Wouldnt be so sure vectors will be easy. Alot of material in textbooks is, but the actual stuff they put up is nothing like whats in the textbooks.
Literally just substitue the line equation and solve for lambda in |v - c| = r for i, then for ii make a sphere of radius r and centre a, b, c, then use vector rules to find expressions for other points in the question, sub into the formula and prove that it equals 0.

Just tests the theory, not the application

#### mathsbrain

##### Member
Literally just substitue the line equation and solve for lambda in |v - c| = r for i, then for ii make a sphere of radius r and centre a, b, c, then use vector rules to find expressions for other points in the question, sub into the formula and prove that it equals 0.

Just tests the theory, not the application
can you show this in extended working please?

#### hschelper01

##### Active Member
I'd say - from what I've seen - the proof questions look like they are very challenging

#### 5uMath

##### Member
can you show this in extended working please?
Hope this helps. Correct me if im wrong (see attachment), I dont know if there are solutions to the paper

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#### mathsbrain

##### Member
Hope this helps. Correct me if im wrong (see attachment), I dont know if there are solutions to the paper
thanks so much!

#### mathsbrain

##### Member
can someone show the working for part 3 of this question please? been stuck for a looooonnnnggg times lol

#### mathsbrain

##### Member
Wouldnt be so sure vectors will be easy. Alot of material in textbooks is, but the actual stuff they put up is nothing like whats in the textbooks.
sorry i meant part 3 of this question

#### mathsbrain

##### Member
Hope this helps. Correct me if im wrong (see attachment), I dont know if there are solutions to the paper
also 5u, in this solution of yours you mentioned use part (i), what is part (i)?

can anyone help?

#### 5uMath

##### Member
can anyone help?
This was from the sample from nesa. Part i asked prove that a *(b+c)=a*b+a*c (dot product)

#### mathsbrain

##### Member
Hmm I fail to see how this hint helps with part (ii), are we talking about the same Sphere question that's on this page? Do you happen to have the link for the nesa sample link?