Question

Does it matter which of the two  hybrid orbitals are used to hold the two nonbonding electron pairs?

Tetrahedral arrangement of four sp hybrid orbitals about oxygen Two O sp orbitals contain nonbonding electron pairs O-H singl

Yes. Hybrids aren't equivalent. Hybrid formed from px orbital holds the two nonbonding electron pairs.
Yes. Hybrids aren't equivalent. Hybrid formed from pz orbital holds the two nonbonding electron pairs.
Yes. Hybrids aren't equivalent. Hybrid formed from py orbital holds the two nonbonding electron pairs.
No. All four hybrids are equivalent and the angles between them are all the same, so we can use any of the two to hold the nonbonding pairs.
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Answer #1

Does it matter which of the two sp3 hybrid orbitals are used to hold the two non bonding electron pairs?

No. All four hybrids are equivalent and the angles between them are all the same, so we can use any of the two to hold the non bonding pairs.

Explanation:

Oxygen in the two hybrid orbitals consists of lone pairs, the remaining two overlaps with the 1s orbitals of hydrogen atoms forming the O-H Bonds in H2O.

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