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[itex]\vec{A} \times \vec{B} = \vec{C} [/itex]. [itex]\vec{A}[/itex] and [itex]\vec{C}[/itex] are known, and [itex]\vec{B}[/itex] must be determined. However, upon trying to use Cramer's rule to solve the system of three equations, I find that the determinant we need is zero. I know now that I need to choose a "gauge" to proceed, but can someone outline what comes next? Thanks.