is this correct?

sp3 CH3-CH3
sp2 CH2=CH2
sp CH≡CH

im trying to figure out sp3 and sp2c

yes

Yes, you have correctly identified the hybridization for the carbon atoms in the given molecules.

In organic chemistry, hybridization is used to describe the bonding arrangement and geometry around carbon atoms. It is determined by the number of sigma (σ) bonds and lone pairs around a carbon atom.

In the first molecule, CH3-CH3 (ethane), carbon is bonded to four hydrogen atoms and has no lone pairs. Each carbon atom in ethane has a tetrahedral geometry, meaning it is surrounded by four regions of electron density. This corresponds to sp3 hybridization, where one 2s orbital and three 2p orbitals of carbon combine to form four sp3 hybrid orbitals, which are arranged in a tetrahedral shape.

In the second molecule, CH2=CH2 (ethylene), the carbon atoms are bonded to two hydrogen atoms and are also connected by a double bond. Carbon atoms in this molecule have trigonal planar geometry, meaning they are surrounded by three regions of electron density. This corresponds to sp2 hybridization, where one 2s orbital and two 2p orbitals of carbon combine to form three sp2 hybrid orbitals, which are arranged in a trigonal planar shape.

In the third molecule, CH≡CH (ethyne or acetylene), the carbon atoms are bonded to one hydrogen atom each and are connected by a triple bond. Carbon atoms in this molecule have linear geometry, meaning they are surrounded by two regions of electron density. This corresponds to sp hybridization, where one 2s orbital and one 2p orbital of carbon combine to form two sp hybrid orbitals, which are arranged in a linear shape.

To determine the hybridization of a carbon atom, you can count the number of sigma bonds (single bonds count as one sigma bond, double bonds count as one sigma bond and one pi bond, and triple bonds count as one sigma bond and two pi bonds) and the number of lone pairs around the carbon atom. The total number of sigma bonds and lone pairs will give you the hybridization.