The vectors from origin to the points \( \mathrm{A} \) and \( \math...

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

W then the area of \( \triangle O A B \) is equal to:
(1) 340
\( (2)_{\infty} \sqrt{25} \)
(3) \( \sqrt{229} \)
(4) \( \frac{1}{2} \sqrt{229} \)
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