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Three concurrent edges of a parallelepiped are given by \[ \vec{a} = 2\hat{i} - 3\hat{j} + \hat{k},\quad \vec{b} = \hat{i} - \hat{j} + 2\hat{k},\quad \vec{c} = 2\hat{i} + \hat{j} - \hat{k}. \] The volume of the parallelepiped is:

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Volume = absolute value of scalar triple product; sign indicates orientation.

Updated On: Apr 16, 2026

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The Correct Option is A

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Three concurrent edges of a parallelepiped are given by \[ \vec{a} = 2\hat{i} - 3\hat{j} + \hat{k},\quad \vec{b} = \hat{i} - \hat{j} + 2\hat{k},\quad \vec{c} = 2\hat{i} + \hat{j} - \hat{k}. \] The volume of the parallelepiped is:

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The Correct Option is A

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