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A long horizontal straight conductor carries a current from north to south. Points A and B are to east and west of the conductor and points C, D are vertically above and below the conductor. Direction of magnetic field at
Take east, north and up as $$\hat{i}$$, $$\hat{j}$$, $$\hat{k}$$, so the current is along $$-\hat{j}$$ and the field at a point in direction $$\hat{r}$$ from the wire is along $$-\hat{j} \times \hat{r}$$. Above the wire this is $$-\hat{j} \times \hat{k} = -\hat{i}$$, i.e. westward. At A (east) it is upward, at B (west) downward and at D (below) eastward, so only option c is correct.
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