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A point charge \( \mathrm{q} \) 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 \( \mathrm{A}(1,2,3), \mathrm{B}(1,1,-1) \) and \( \mathrm{C}(2,2,2) \) due to charge q. Then
\( \mathrm{P} \)
[i] \( \overrightarrow{\mathrm{E}}_{\mathrm{A}} \perp \overrightarrow{\mathrm{E}}_{\mathrm{B}} \)
[ii] \( \left|\overrightarrow{\mathrm{E}}_{\mathrm{B}}\right|=4\left|\overrightarrow{\mathrm{E}}_{\mathrm{C}}\right| \)
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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