Can someone plzzz help me?

- ajprincess

Can someone plzzz help me?

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- ajprincess

##### 1 Attachment

- alexwee123

ugh vectors :/

- alexwee123

well i fail at almost anything related w/ 3d so can't help u here :(

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## More answers

- ajprincess

it's k. thanxx anyway.

- anonymous

dear can u attach graph of this ?

- ajprincess

I dnt hav it. I hav only the question. Am sorry. :(

- anonymous

ok let's try to solve it step by step together .

- ajprincess

ha k.:)

- anonymous

|dw:1337928984058:dw|

- ajprincess

I drew this part. Bt where do v place k?

- anonymous

i just think about it .

- anonymous

do the alpha beta has special meaning or they are just coefficient ?

- ajprincess

they are just coefficients.

- anonymous

ok we suppose that its in the shape like this

- ajprincess

k.

- anonymous

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- ajprincess

can u plzz show me the next step if u dnt mind.

- anonymous

dear i'm thinking .

- ajprincess

Ha k.

- anonymous

dear for writing the plane we need a point and a line which cross the plane am i right ?

- ajprincess

u mean for writing the eqn of the plane? bt v can write it if v knw the position vectors of thr three points isnt it?

- anonymous

yes so u know out and in multiple .

- anonymous

if u multiple out and b and like this for others plane u have the line and u have the point .

- ajprincess

sorry I didnt get u?

- anonymous

take a look at it :
http://en.wikipedia.org/wiki/Cross_product

- anonymous

@Callisto dear i need help here

- ajprincess

I hav studied cross product. I dnt get where u apply it here. Am so sorry for disturbing u. Can u plzz explain it a bit more.

- anonymous

i'm not sure i ask a friend for help but what i said is this :

- anonymous

in our question we have a b c vectors , for each plane if u cross product both of them u get the line ortoghonal to the plane and u have the point i mean a1 b1 and the other

- ajprincess

i tried bt nt getting t. can u plzz help me dear?

- anonymous

u know , i'm not sure about the solution .

- ajprincess

oh k. Am sorry.

- anonymous

i's so sri because i can't help u . but think about my idea .
what if we suppose our space with 3 vector a b c instead i j k ?
could we find out the answer ?

- ajprincess

let me try and see.

- anonymous

dear is it a special tetrahedron ? i mean symmetric or ortoghonal ?

- anonymous

if it has any special feature we can use them .

- ajprincess

It is nt given. :(

- anonymous

i'm not good at english but is it like this ?
http://en.wikipedia.org/wiki/File:Tetrahedron_flat.svg

- ajprincess

no.

- anonymous

i'm so sri .

- ajprincess

No problem. Bigg thanxxx for trying to help me.

- anonymous

Here is how to write the planes of the tetrahedron using vecors I think.

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- ajprincess

I wrote the equations of planes as follows.
|dw:1337970519951:dw||dw:1337970602748:dw|

- ajprincess

I wrote it so cos the equation of a plane through three points is |dw:1337970955268:dw|
were r is p.v of any point R on the required plane, a,b and c are p.v of the given points A,B, and C.

- ajprincess

Am I right @timo86m

- anonymous

seems right use it to prove those things it says.

- ajprincess

bt that's the place I am stuck.

- ajprincess

I got the answer for the first part.:0

- anonymous

for 1 you can just take vector D to D1
Use vector addition and it will equal RHS

- anonymous

this is a tough one :) lol

- ajprincess

I did it in this way.
Let the position vector of D1 with respect to D be d1. Since D1 lies in the plane AB|dw:1337972129746:dw|
and since DD1//DK|dw:1337972217587:dw||dw:1337972258266:dw||dw:1337972326958:dw||dw:1337972383792:dw|
Such a lengthy method.

- ajprincess

@timo86m if u dnt mind can u help me to solve the third and fourth part.

- anonymous

oh Sorry I dont think i can

- ajprincess

it's k. I got an answer. If I make an adjustment to that I am getting it right. Bt am nt sure if I am right. Anyways thanxxx a lot for coming to the rescue.

- anonymous

LOL I did nothing :P It was all you smartypants

- ajprincess

:)

- anonymous

you did it all :) really

- ajprincess

thanxxx for the medal.:)

- anonymous

I am proud of you :)

- ajprincess

:)

- anonymous

Bring on another q :D
Make it easier this time please :P

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