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A long straight horizontal wire carries a current from south to north. Magnetic field vertically above the wire is directed
By the right hand thumb rule, with the thumb pointing north along the current, the field lines curl around the wire. Taking east, north and up as $$\hat{i}$$, $$\hat{j}$$, $$\hat{k}$$, the field direction above the wire is along $$\hat{j} \times \hat{k} = \hat{i}$$, i.e. eastward.
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