Find (i) A vector of magnitude \( \sqrt{6} \) perpendicular to the plane \( A B C \) (ii) Area o...

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Find
(i) A vector of magnitude \( \sqrt{6} \) perpendicular to the plane \( A B C \)
(ii) Area of triangle \( A B C \)
(iii) Length of the altitude from \( A(A B=A C=\sqrt{11}) \)
(iv) Equation of the plane \( A B C \)
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