The vectors from origin to the points \( A \) and \( B \) are \( \m...

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The vectors from origin to the points \( A \) and \( B \) are
\( \mathrm{P} \) \( \vec{A}=3 \hat{i}-6 \hat{j}+2 \hat{k} \) and \( \vec{B}=2 \hat{i}+\hat{j}-2 \hat{k} \) respectively.

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The area of the triangle \( O A B \) be
(A) \( \frac{5}{2} \sqrt{17} \) sq. units
(B) \( \frac{2}{5} \sqrt{17} \) sq. units
(C) \( \frac{3}{5} \sqrt{17} \) sq. units
(D) \( \frac{5}{3} \sqrt{17} \) sq. units
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