Answer: Where you cut on the flowering stalk really depends upon what kind of orchid you are growing. With most orchids you should cut off flowering stems near the base once the blooms have faded. With Phalaenopsis the stem should be cut a little below the bottom flower so that it will be able to flower again on the same stalk.
Here's a web address for an in-depth article on growing orchids:
Enjoy your lovely orchid!
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