In $ (CH_3)_3 N $ the state of hybridization of N-atom and the Spatial rearrangement of methyl groups around it are respectively.
In Trimethylamine ((CH_3)_3N), the nitrogen atom is bonded to three methyl groups and has a lone pair of electrons. The hybridization state of the nitrogen atom is sp^3, which leads to a tetrahedral arrangement of the bonding pairs and lone pair around the nitrogen. However, the presence of the lone pair causes the shape to be pyramidal rather than a perfect tetrahedron.