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Vectors

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9 Apr 2008 12:20:57 IST
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Unit vectors
None

If   a^ , b^ , c^ are unit vectors , then the max value of  | a^ + b^ - c^ |2 + | b^ + c^ - a^|+ | c^ + a^ - b^|2 must be:

(a) 9      (b) 12    (c)  15   (d) none of these

pls reply.


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New kid on the Block

Joined: 24 Mar 2008
Posts: 19
9 Apr 2008 12:35:03 IST
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someone pls tell...

Hot goIITian

Joined: 9 Nov 2006
Posts: 127
9 Apr 2008 12:36:51 IST
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is the ans c..12
if yes method .........
since the expression is symmetric in a,b,c
it can attain max value when a,b,c are equally inclined to each other i.e angle between them is 120 degrees...............

simplifying the expression...........
3(1+1+1-2*1/2 +4*1/2)=12

ashish  gupta's Avatar

Scorching goIITian

Joined: 6 Apr 2008
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9 Apr 2008 12:37:30 IST
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its 12 ..
it was asked in fiitjee full test xi  last sunday (paper 1,ques 1)

want solution .. rate me then
kaushik krishna's Avatar

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Joined: 19 Apr 2007
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9 Apr 2008 12:40:20 IST
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ans is 12...anups explanation is right
zamuka chen's Avatar

Scorching goIITian

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9 Apr 2008 12:40:36 IST
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bilkul sahi anup, mein bhi yahi type kar raha tha.....

New kid on the Block

Joined: 24 Mar 2008
Posts: 19
9 Apr 2008 12:43:54 IST
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thnx..



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