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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Determinant doubt...........
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ssk317 (65)

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 Prove that (without xpanding)


1               cos(b-a)         cos(c-a)
cos(a-b)        1                 cos(c-b)        = 0
cos(a-c)      cos(b-c)            1
    
ssk317 (65)

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plz anybody...........
come with da soln. early.......
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securitas2311 (23)

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Put a=b=c. So, cos in all places becomes 1, and the determinant becomes zero...
 
I'll tell u another way too, that's more satisfactory...
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Ashish (95)

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How could you put a=b=c? I mean I can't see the logic.

'Your eyes show the strength of your soul.'
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ssk317 (65)

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@securitas2311
there is no logic yaar in puttuin a=b=c......

plz tell da other way............
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anandghegde (1712)

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write it as a product of two determinants yaar....

"I a universe of atoms.......an atom in the universe"
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anandghegde (1712)

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cos A      sin A      0            cos A      sin A      0
cos B      sin B      0     X      cos B      sin B      0   
cos C      sin C      0            cos C      sin C      0


I havent checked this...just giving you the idea.....My ans might be wrong also

"I a universe of atoms.......an atom in the universe"
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ssk317 (65)

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thanks .....anand.......for
it ll b like this.......

cos a sin a 0 cos a cos b cos c
cos b sin b 0 * sin a sin b sin c
cos c sin c 0 0 0 0
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ssk317 (65)

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thanks .....anand......
it checkd it.......it ll b like this.......

cos a sin a 0 cos a cos b cos c
cos b sin b 0 * sin a sin b sin c
cos c sin c 0 0 0 0
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anandghegde (1712)

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your determinant is the same as mine......

"I a universe of atoms.......an atom in the universe"
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