The two adjacent sides of a parallelogram are represented by the vectors \( 2 \hat{i}-4 \hat{j}-...

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The two adjacent sides of a parallelogram are represented by the vectors \( 2 \hat{i}-4 \hat{j}-5 \hat{k} \) and \( 2 \hat{i}+2 \hat{j}+3 \hat{k} \). Find the two unit vectors parallel to its diagonals. Using the diagonal vectors, find the area of the parallelogram.
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