If the vectors \( (\hat{i}+\hat{j}+k) \) and \( 3 \hat{i} \) form t...

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If the vectors \( (\hat{i}+\hat{j}+k) \) and \( 3 \hat{i} \) form two sides of a triangle, then area of the triangle is
(1) \( 3 \sqrt{\frac{3}{2}} \) unit
(2) \( 2 \sqrt{3} \) unit
(3) \( \frac{3}{\sqrt{2}} \) unit
(4) \( 3 \sqrt{2} \) unit
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