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Vectors

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27 Mar 2008 12:30:06 IST
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if a b c are 3 vectors such that (b.c).a=(a.b).c . what does this imply?
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if a b c are 3 vectors such that (b.c).a=(a.b).c . what does this imply?


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layman's Avatar

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27 Mar 2008 12:31:51 IST
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Associative and commutative laws holds good.
shridhar ramachandran's Avatar

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27 Mar 2008 12:32:12 IST
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it doesnt imply anything. this is just a combination of associative law and commutative law for dot droduct of vectors, which is ALWAYS true..
so a,b,c can be any 3 vectors..
layman's Avatar

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27 Mar 2008 12:35:40 IST
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Hey shrids that's what I meant.
KEERTHI KUNDANA's Avatar

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27 Mar 2008 12:39:07 IST
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the associative law for dot product does not exist
as b.c would be a scalar(d) and the dot product of a scalar with a vector is not defined
thus d.a is not defined
KEERTHI KUNDANA's Avatar

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27 Mar 2008 12:40:28 IST
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correct me if i'm wrong!
layman's Avatar

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27 Mar 2008 12:42:28 IST
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Yes correct.
BILLA's Avatar

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27 Mar 2008 15:03:57 IST
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how can (b.c).a even exist or be a legal expression???the statement is wrong!!!!
varsha valli g.'s Avatar

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27 Mar 2008 17:20:58 IST
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yes how can u have a dot product between a scalar and a vector,its just normal multipication.
!!!!!!!!!!!
Ashwini's Avatar

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27 Mar 2008 19:12:58 IST
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but even if it is normal multiplication, can it exist??
gokul subramanian's Avatar

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27 Mar 2008 19:21:04 IST
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in vectors there are 2 multiplications '.' and 'x'
wat do u mean by 'normal' multiplication???
pls make ur question clear
Gaurav |spideyunlimited| Ragtah's Avatar

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27 Mar 2008 19:28:51 IST
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i think she means n times magnitude into a vector.
a vector
3a vector etc.
jus telling u wht i think she meant

Blazing goIITian

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27 Mar 2008 20:08:11 IST
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(a.b).c =(abcosQ).c=abcosQ ccosQ'
so why all are saying it does not exist

correct me if i m wrong or rate me if useful
gokul subramanian's Avatar

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27 Mar 2008 20:13:44 IST
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a.b is a scalar..
dot product of 2 vectors is a scalar
u cannot take the 2nd dot pdt as it will then amt to dot pdt between a scalar and a vector
siddharth raghuraman's Avatar

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27 Mar 2008 20:16:02 IST
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@bhartibhanushali

abcosQ has no direction...so u cannot dot it with a vector...

the question has no meaning...
Umang's Avatar

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27 Mar 2008 20:40:55 IST
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i agree with keeru !
initially all did the silly mistake but keeru was there to correct it !

Scorching goIITian

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29 Mar 2008 05:09:34 IST
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IT MEANS C=A

New kid on the Block

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31 Mar 2008 16:28:42 IST
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ok ok
pink_ele's Avatar

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31 Mar 2008 16:47:48 IST
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its a meaning less term dear
dot product of a vector wid a scalar has no meaning!!!!!!!!!!!!!!!!!!!!!!!!



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