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# Edexcel FP3 - 27th June, 2016 watch

• View Poll Results: How did you find the Edexcel FP3 exam?
Very hard
41
8.40%
Hard
69
14.14%
Normal
156
31.97%
Easy
165
33.81%
Very easy
57
11.68%

1. (Original post by AmarPatel98)
I dont quite follow this: "there's one plane with equation r.(3,-4,2)=5 and r.(1,3,-1)=0 ---- this one is from taking out 3 from (3,9,-3) and using the dot product on (0,0,0)
after having the two equations, r.(3,-4,2)=5 and r(1,3,-1)=0 you do simultaneous equations from letting x=0, which would be -4x+2y=5, 3x-y=0 --- "
from the question we are told plane 1 has vector equation r.(3,-4,2)=5 and that plane 2 has vector equation r=lambda(2,1,5) + mu(1,-1,-2) -- we can assume from plane 2 that the position vector is (0,0,0) so r=(0,0,0) + lambda(2,15) + mu(1,-1,-2).

Then we want the plane 2 in the form r.n=p.
we then cross multiply (2,1,5) and (1,-1,-2) to give us (3,9,-3)
then r.(3,9,-3)=(0,0,0).(3,9,-3) = 0
r can then be written as r.(1.3,-1)=0 (dividing by 3)

now we have 2 equations r.(1,3,-1)=0 and r.(3,-4,2)=5
which can be written as x+3y-z=0 , 3x-4y+2z=5.
in the mark scheme they had let x=0 which gives us 2 simultaneous equations
3y-z=0, 4y+2z=5
you then solve these for the position vector of the 2 planes
and cross multiply (1,3,-1) and (3,-4,2) for the direction vector.
This may seem complicated due to the amount written but it's fairly simple
2. (Original post by Cookie2314)
Attachment 556555 When do I use the sin teetha formula? And what does it actually mean

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This is the definition of the cross product between two vectors. Take care with the direction of n hat.

It is used to find the sine of the angle between two vectors. We tend to use the scalar product in this case though to find the cosine of the angle.
3. How is everyone feeling about the exam? is it weird i'm hoping for a hard paper
4. (Original post by the-anonymous-me)
Thanks x
no problem will try helping if possible x
5. (Original post by Major-fury)
How is everyone feeling about the exam? is it weird i'm hoping for a hard paper
I'm hoping for hard paper. I love low grade boundaries.
6. (Original post by target21859)
I'm hoping for hard paper. I love low grade boundaries.
same xD It's much easier imo to do better in a hard paper rather than an easy paper because 1 mistake can be the difference between an A* and an A.
7. (Original post by Major-fury)
same xD It's much easier imo to do better in a hard paper rather than an easy paper because 1 mistake can be the difference between an A* and an A.
Yeah true and I don't find them to be much harder. In fact I found June 2011 ( I think) to be the hardest paper and that's 70 for an A*. Tbh I only need a B in FP3 or S2 to get the A* anyway so I'm not too worried . Although I am worried about physics as I haven't done any revision or past papers yet. I'm screwed
8. Hey guys, can anyone post a link to all the formulas that need to be memorised especially for the vectors stuff it'd be really appreciated.
9. (Original post by target21859)
Yeah true and I don't find them to be much harder. In fact I found June 2011 ( I think) to be the hardest paper and that's 70 for an A*. Tbh I only need a B in FP3 or S2 to get the A* anyway so I'm not too worried . Although I am worried about physics as I haven't done any revision or past papers yet. I'm screwed
Nice man. I on the ohter hand need essentially 100 ums in S2 and FP3 for my A* . And I havent even learnt unit 5 physics yet let alone done a past paper.
10. (Original post by King Beast)
Hey guys, can anyone post a link to all the formulas that need to be memorised especially for the vectors stuff it'd be really appreciated.
all in the fp3 book, check the summary of the chapter.
11. Could someone explain how big of a deal predicition grades are? because i know i'll do good in my exams but for my mocks i know they're gonna go badly because i'm trying to focus on my actual exams. Because i'm in my first year of sixth form but already have an A* in maths and have nearly gotten an A* in further maths ( fp3 last module).
12. (Original post by oinkk)
This is the definition of the cross product between two vectors. Take care with the direction of n hat.

It is used to find the sine of the angle between two vectors. We tend to use the scalar product in this case though to find the cosine of the angle.
Thanks! Is there any examples of questions when we have to find the sin of the angle instead of the cos and will they tell us or we have to recognise this

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13. (Original post by King Beast)
Hey guys, can anyone post a link to all the formulas that need to be memorised especially for the vectors stuff it'd be really appreciated.
FP3 pretty much has all the formulae in the formula booklet. It takes out 4 pages for FP3 compared to 1 for FP2.
Hyperbolics:
sinhx = (e^x - e^-x)/2
coshx = (e^x + e^-x)/2
tanhx = (e^x - e^-x)/(e^x + e^-x)
cosh(A+B) = coshAcoshB + sinhAsinhB
sinh(A+B) = coshAsinhB + coshbsinhA

Available in the review of hyperbolics in the FP3 book are more, but those are the main ones not on the second page of the formula booklet.

Coordinate systems:
Nothing really here which isn't in the formula booklet. Ensure you know trig/hyperbolic trig identities for locus questions, but no formulae.

Integration/differentiation:
Again, nothing really. Results are in the formula booklet, the by parts formula for integration is in c4, and the formulae are in the formula booklet. Differentiation usually asks for some knowledge from C3/C4 (e.g. d/dx (yx) = xdy/dx + y).

Vectors:
Most formulae are in the formula booklet, even with some you never even use.
Area of triangle = 1/2 |axb|
Area of parallelogram = |axb|
Volume of parallelepiped = |a.(bxc)|
Volume of tetrahedron = 1/6 |a.(bxc)|

Matrices:
If you're stuck with the matrices stuff, ask me. As much as I want to help, I'm not bothering writing out the formula for cofactor matrices, inverses etc. It's also much better to remember the process, rather than where the numbers go.
Just remember you've got:
- Inverse matrices (covers cofactor matrix and determinant of 3x3 matrix, if you're using them).
- What makes a matrix singular, orthogonal, diagonal.
- Combining matrices with vectors to see where the matrix transforms it.
- Finding eigenvalues/eigenvectors.
- Any FP1 stuff on matrices, like the manipulation of matrices (using inverses etc.).

Also worth remembering:
C1, C2, C3, C4, FP1, FP2 stuff (don't think anything from applied modules will appear).
- Proof by induction HAS come up (I know in FP2 it has, don't remember seeing it in FP3). Go over the method, n=1, assume true for n=k, n=k+1.
- Again, fp1 matrix stuff could come up, aswell as fp1/fp2 complex numbers.
- C4 vectors knowledge forms the basis of a lot of FP3 vectors knowledge.
- Known differentials/integrals are in the formula booklet under c3, c4 and fp3.
- This exam is intended to be hard. If your working reaches an impass, clear your mind by moving onto the next question. When you get back to that question, consider using a new method or manipulating something right at the start (this happens with me a lot, there'll be something right at the start that I miss).
14. (Original post by Cookie2314)
Thanks! Is there any examples of questions when we have to find the sin of the angle instead of the cos and will they tell us or we have to recognise this

Posted from TSR Mobile
We tend to use the cosine over the sine as there is an ambiguity problem for obtuse angles (that is to say, once we've found the value of , is the angle we're actually looking for greater than or equal to — this is much like the ambiguous case with the sine rule from C2. Might be with a Google cos we don't actually get taught this).

This is the definition of a vector cross product. We can use either or for finding angles. We get the same result. But we almost always prefer use the dot product as cosine does not have this extra ambiguity.
16. (Original post by blahblah21)
totally ****ed only started revising it today. i covered it all about 3 months ago was happy with it and now i've forgotten most of it.
17. hey guys, could someone help me out on this ellipse question?

https://3a14597dd5c7aa2363f067571766...%20Edexcel.pdf

q8 part b. i can get to e(PN1+PN2) but I don't see why this is equal to e*N1*N2? cheers
18. (Original post by Anon-)
hey guys, could someone help me out on this ellipse question?

https://3a14597dd5c7aa2363f067571766...%20Edexcel.pdf

q8 part b. i can get to e(PN1+PN2) but I don't see why this is equal to e*N1*N2? cheers
I let P = (2costheta,sin theta)
and then proceeded to just find the distance of pf1 and pf2 and it cancels out to 4.
19. (Original post by ThatGuy153)
totally ****ed only started revising it today. i covered it all about 3 months ago was happy with it and now i've forgotten most of it.
haha tell me about it, i need a solid B to get an A but ill be lucky if I get a D lol
20. Need somewhere in the region of 70-80 to get an A in further maths (thanks M2). I'd need about 92-96 to get an A*. I really hope this is as much a breeze as C4 was.

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