Mathematics: Post your doubts here!

[xXGTZXx]

anyone mind explaining foot of the perpendicular to me in vectors

eg
http://papers.xtremepapers.com/CIE/...AS Level/Mathematics (9709)/9709_s04_qp_3.pdf
Q11

thx

 

[salvatore]

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_s13_qp_31.pdf
Pleaseee help me with qn no. 6(ii), I'll be grateful!
Thanks

 

[hope4thebest]

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w12_qp_33.pdf Question7 part i anyone? Thanks

 

[Haya Ahmed]

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w12_qp_63.pdf


Q5 please

 

[CЯeScɘnt]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s13_qp_31.pdf
Pleaseee help me with qn no. 6(ii), I'll be grateful!
Thanks

As line in parallel to x-axis so parallel vector of the line will be 1,0,0
equation of the line, r=(7,7,-5)+t(1,0,0)=(7+t,7,-5)
put these values of x,y,z in the equation of plain, and find the value of t.
find B by putting this value of t into equation of the line n find |AB|

 

[CЯeScɘnt]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w12_qp_33.pdf Question7 part i anyone? Thanks

 

[mmmmmm]

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w13_qp_31.pdf, q:6, part (i). help me guys.

 

[zoza7elw]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w13_qp_31.pdf, q:6, part (i). help me guys.

Here is it

 

[mmmmmm]

Here is it

Thanks.

 

[Manobilly]

http://papers.xtremepapers.com/CIE/... Level/Mathematics (9709)/9709_s12_qp_32.pdfq q6i and q10iii

 

[Haya Ahmed]

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_s12_qp_62.pdf

Q7 (iii)
Please someone explain the question and answer

 

[Ahsen chaudhry]

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_s12_qp_33.pdf

Question 10 b anyone please ?

 

[abruzzi]

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w12_qp_33.pdf
Please please pleaseee help me with qn 8(ii)

 

[syed1995]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w12_qp_33.pdf
Please please pleaseee help me with qn 8(ii)

There are a lot of ways to solve this..

the easiest will be to do a cross product of both the line's direction vector.. since they lie on the plane.. their perpendicular will be the normal vector of the plane.

the cross product of both direction vectors gives.. (-11,10,7)

that is your plane equation -11i+10j+7k=d

d=r.n take any point on the plane and multiply with normal vector to get the answer. Take the point of intersection you got in part i.
d=(-11,10,7).(7,-1,2)
d=-73

Final equation is

-11i+10j+7k=-73

 

[abruzzi]

There are a lot of ways to solve this..

the easiest will be to do a cross product of both the line's direction vector.. since they lie on the plane.. their perpendicular will be the normal vector of the plane.

the cross product of both direction vectors gives.. (-11,10,7)

that is your plane equation -11i+10j+7k=d

d=r.n take any point on the plane and multiply with normal vector to get the answer. Take the point of intersection you got in part i.
d=(-11,10,7).(7,-1,2)
d=-73

Final equation is

-11i+10j+7k=-73

I thought the two lines won't have the same perpendicular since they intersect.
Thanks a lot bro, jazakallah

 

[cheemaboyz]

can anyone help me in this question please i have my exam so please help me
Ques :- The times for a certain car journey have a normal distribution with mean 100 minutes and standard deviation 7 minutes. Journey times are classified as follows: ‘short’ (the shortest 33% of times), ‘long’ (the longest 33% of times), ‘standard’ (the remaining 34% of times).
(i) Find the probability that a randomly chosen car journey takes between 85 and 100 minutes. [3]
(ii) Find the least and greatest times for ‘standard’ journeys. [4]

 

[panoramafolks]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_qp_32.pdfq q6i and q10iii

6.i

 

[thementor]

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w13_qp_31.pdf
q8 (b) HOW THE HELL ARE WE SUPPOSED TO SOLVE QUESTIONS OF THIS TYPE?

 

[syed1995]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w13_qp_31.pdf
q8 (b) HOW THE HELL ARE WE SUPPOSED TO SOLVE QUESTIONS OF THIS TYPE?

Good question.. tag me when you get the solution mate.. no clue

 

[Thought blocker]