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Question

If $ \hat{i} + \hat{j} - \hat{k} $ and $ 2\hat{i} - 3\hat{j} + \hat{k} $ are adjacent sides of a parallelogram, then the lengths of its diagonals are:

$(\sqrt{3}, \sqrt{14})$

$(\sqrt{13}, \sqrt{14})$

$(\sqrt{21}, \sqrt{3})$

$(\sqrt{21}, \sqrt{13})$

Solution

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