Word Count : 252

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To find the cross product \(\vec{a} \times \vec{b}\), we use the determinant method: Given vectors: \[ \vec{a} = 2\hat{i} + 3\hat{j} + 4\hat{k} \] \[ \vec{b} = 3\hat{i} + 5\hat{j} + 2\hat{k} \] ### Step 1: Write the determinant formula \[ \vec{a} \times \vec{b} = \begin{vmatrix} \hat{i} & \hat{j} & ________ ________ _______ _____ ______.
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