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if the vectors 2hati-3hatj,hati+hatj-hat...

if the vectors `2hati-3hatj,hati+hatj-hatk and 3 hati-hatk` from three concurrent edges of a parallelpiped, then find the volume of the parallelepied.

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To find the volume of the parallelepiped formed by the vectors \( \mathbf{A} = 2\hat{i} - 3\hat{j} \), \( \mathbf{B} = \hat{i} + \hat{j} - \hat{k} \), and \( \mathbf{C} = 3\hat{i} - \hat{k} \), we can use the formula for the volume \( V \) of a parallelepiped defined by three vectors \( \mathbf{A}, \mathbf{B}, \mathbf{C} \): \[ V = |\mathbf{A} \cdot (\mathbf{B} \times \mathbf{C})| \] ### Step 1: Calculate \( \mathbf{B} \times \mathbf{C} \) ...
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