A point charge \( q \) is placed at origin. Let \( \overrightarrow{\mathrm{E}}_{\mathrm{A}}, \ov...

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A point charge \( q \) is placed at origin. Let \( \overrightarrow{\mathrm{E}}_{\mathrm{A}}, \overrightarrow{\mathrm{E}}_{\mathrm{B}} \) and \( \overrightarrow{\mathrm{E}}_{\mathrm{C}} \) be the electric field at three points \( A(1,2,3), B(1,1,-1) \) and \( C(2,2,2) \) due to charge q. Then
\( P \)
[i] \( \overrightarrow{\mathrm{E}}_{\mathrm{A}} \perp \overrightarrow{\mathrm{E}}_{\mathrm{B}} \quad[ \) ii] \( ] \overrightarrow{\mathrm{E}}_{\mathrm{B}}|=4| \overrightarrow{\mathrm{E}}_{\mathrm{C}} \mid \)
W select the correct alternative
(A) only [i] is correct
(B) only [ii] is correct
(C) both [i] and [ii] are correct
(D) both [i] and [ii] are wrong
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