The cross product of two vectors \(\mathbf{a}\) and \(\mathbf{b}\) is given by \(\mathbf{a} \times \mathbf{b}\). The cross product is anti-commutative, meaning \(\mathbf{a} \times \mathbf{b} = -(\mathbf{b} \times \mathbf{a})\), and it is distributive over
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