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Yes, they generally are. In the case of ammonia, NH3, nitrogen has an electron pair and three unpaired electrons (as per Hund's rule.) The pair remains unbonded, but each single electron bonds single-covalently to a hydrogen. The unbonded pair "pushes" the 3 bonded hydrogens downward into a "tripod" shape, making the molecule pyramidal. The molecule is polar because the unbonded pair constitutes a negative partial charge.

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