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Q.

A point charge is placed at origin. Let EA,EB  and EC be the electric field at three points A (1,2,3), B (1,1,-1) and C (2,2,2) due to charge q1 then

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a

|EB|=8|EC|

b

EAEC

c

|EB|=4|EC|

d

EAEB

answer is M.

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Detailed Solution

EA  is along OA  and           EB  is along OB

OA=i+2j+3k  and           OB=i+jk

Since OA.OB=0                  EAEB

Further |E| α1r2                    |OC| =2|OB|

                                              |EB|=4|EC|

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A point charge is placed at origin. Let EA→,EB→  and EC→ be the electric field at three points A (1,2,3), B (1,1,-1) and C (2,2,2) due to charge q1 then