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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: if a b c are 3 vectors such that (b.c).a=(a.b).c . what does this imply?
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gaurav_2351 (8)

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if a b c are 3 vectors such that (b.c).a=(a.b).c . what does this imply?
    
layman (148)

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Associative and commutative laws holds good.



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hash_include (381)

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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..

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layman (148)

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Hey shrids that's what I meant.



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KEERU (45)

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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
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KEERU (45)

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correct me if i'm wrong!
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layman (148)

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Yes correct.



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eistien (343)

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how can (b.c).a even exist or be a legal expression???the statement is wrong!!!!
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varshavallig (800)

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yes how can u have a dot product between a scalar and a vector,its just normal multipication.
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ashgirl (1434)

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but even if it is normal multiplication, can it exist??

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computer001 (1849)

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in vectors there are 2 multiplications '.' and 'x'
wat do u mean by 'normal' multiplication???
pls make ur question clear

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spideyunlimited (4185)

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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

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bhartibhanushali (249)

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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
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computer001 (1849)

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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

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