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Question

If a,b,c are the unit vectors then ab2+bc2+ca2 does not exceed

A
4
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B
9
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C
8
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D
6
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Solution

The correct option is B 9
Given expression =2(1+1+1)2(a.b)
=62(a.b).......(i)
But (a+b+c)0
(1+1+1)+2a.b0
32a.b.......(ii)
From Eqs.(i) and (ii),
Given expression6+3=9

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