Do Matthew 26:29 and Mark 14:25 prove that Jesus took a Nazirite vow?

Matthew 26:29, Mark 14:25 and Luke 22:18 are three New Testament passages that seem to indicate that Christ once took the Nazirite vow (as did Samuel, Samson, and John the Baptist). It is known that the Nazirite Vow was made as follows: the Nazirite should abstain from wine, corpses and let his hair grow during the period of his vow. Nazirites were specially set apart for God and their long hair was equivalent to a king's crown. So did Jesus make the vow? Does this prove that Jesus had long hair?