Question: Compute (mathbf{u} times mathbf{v}) using the permutation symbol. Verify your answer by computing these products using traditional methods. a. (mathbf{u}=2 mathbf{i}-3 mathbf{k}, mathbf{v}=3 mathbf{i}-2 mathbf{j}).
Compute \(\mathbf{u} \times \mathbf{v}\) using the permutation symbol. Verify your answer by computing these products using traditional methods.
a. \(\mathbf{u}=2 \mathbf{i}-3 \mathbf{k}, \mathbf{v}=3 \mathbf{i}-2 \mathbf{j}\).
b. \(\mathbf{u}=\mathbf{i}+\mathbf{j}+\mathbf{k}, \mathbf{v}=\mathbf{i}-\mathbf{k}\).
c. \(\mathbf{u}=5 \mathbf{i}+2 \mathbf{j}-3 \mathbf{k}, \mathbf{v}=\mathbf{i}-4 \mathbf{j}+2 \mathbf{k}\).
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