Transformation (Maths)

[Maleeha]

no not yet.. id ask for sure if there'd be any... i didnt solve really many questns so not much prblms either..=D

 

[ibadsiddiqi]

You know transformations right?? I'll ask some questions on it tomorrow ok

 

[Maleeha]

sure.. if i cud solve them id love to..=D

 

[ibadsiddiqi]

help needed with question 26 http://www.xtremepapers.me/CIE/Cambridg ... 4_qp_1.pdf

 

[VelaneDeBeaute]

help needed with question 26 http://www.xtremepapers.me/CIE/Cambridg ... 4_qp_1.pdf

which part do u need help wid...???

 

[ibadsiddiqi]

the whole question..

 

[VelaneDeBeaute]

so in the first part we see that the figure's been stretched...! SO the transformation is a stretch...as its horizontally dun so its "along the x-axis" or wid x-axis inv line...!! Now we calculate the stretch factor....dist of P to Y/ dist of P to inv line....=2/1=2..!

 

[Maleeha]

for (a) we can see that the shape changes only in one direction n the area changes too so it is stretch with stretch factor 2 as distance of Y and Z is 2 from y-axis and that of P and Q is 4,, so 4/2 is k=2
(b) suppose the translation ( x,y) (id be using comma cuz vertically likhna possble nhn yahan) then
(x,y)+(1,2)=(9,2) these r the coordinates of B and B'. solve and answer comes (8,0)
(bii) A' (4,0) and B' (-7,-2) i dunno how to explain the method sorry
and the shear factor comes 4 as it is object to image dist/ invariant to object distance.. i.e. 8/2 = 4
i noe its not much of help but still i tried =)

 

[Maleeha]

sory ghalia i didnt noe u had rplied.. i startd it earlier =(

 

[VelaneDeBeaute]

4 the second part we subtract the subsequent elements of the transformation matrix..!
for first elements...9-1=8
for second elements....2-2=0
so transformation matrix bcumz (8,0).

 

[VelaneDeBeaute]

sory ghalia i didnt noe u had rplied.. i startd it earlier =(

Oh even i didnt know...i posted and saw ur post....
chalo koi nhi...
I hope ur helped ibadsiddiqui..!

 

[ibadsiddiqi]

Thanks a MILLION BOTH of you!!

 

[CaptainDanger]

I love transformations!!!! Easy topic... There are many ways of solving them... For factor if its clear in the image just divide the length of image by the length of object... Be careful to use the corresponding side.... Its not for shear though for shear its posted on the first page...

 

[Silent Hunter]

some people learn matrices of all transformations .......................

 

[CaptainDanger]

You need not to learn them... You can find it yourself... Its too easy...

 

[ibadsiddiqi]

rotation matrices to be specific. Do you know them?

 

[Silent Hunter]

I DONT KNOW ANY OV EM BY HEART...............i know how to make them as i know the changes tht occur to (x,y) in every major transformation.... ITS DIFFICULT TO RATAFICATE ALL

 

[ibadsiddiqi]

tell me abt it!!

 

[CaptainDanger]

For clockwise (90 degree)
(0 1)
(-1 0)

Anticlockwise (90 degree)
(0 -1)
(1 0)

180 degree
(-1 0)
(0 -1)

Origin (0,0)

 

[ibadsiddiqi]

oh..thanks dude!!