Several weeks ago I asked the question about how to cut the spike in a Phal. and I received not one reply. So, for your edification complements of Clayton L. Lowe
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As far as cutting Phal. (Phalaenopsis) spikes goes, try this:
If the spike is brown and shriveled cut back to the origin at the base of the plant.
If it is still alive then after the last bloom has faded follow the stem back to the first node and cut the stem ¼” above the node. Make your cut a clean one using a sharp instrument.
Then just wait, if it is a Phal. that re-blooms it will start a new stem from the node.
If you are talking about Paph. (Paphiopedilum) they will not re-bloom from the same stem so after the bloom has faded and the stem has turned brown cut it off at the origin at the base of the plant.