The area of a parallelogram whose diagonals coincide with the following pair of vectors is \(5\sqrt{3}\). The vectors are:

Question

\(3\hat{i} + 2\hat{i} - \hat{k}, 3\hat{i} - \hat{j} + 4\hat{k}\)

\(\frac{3}{2}\hat{i} + \frac{1}{2}\hat{j} - \hat{k}, 2\hat{i} - 6\hat{j} + 8\hat{k}\)

\(3\hat{i} + \hat{j} - 2\hat{k}, \hat{i} + 3\hat{j} + 4\hat{k}\)

None of these

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