Edit to correct wording...

The wind speed and direction of travel will only effect your ground speed it will not change airspeed.
When climbing or diving vertically your ground speed is zero, into the wind subtract the wind speed from your airspeed, with the wind add the wind speed to your airspeed and you will have your ground speed.
None of this however effects your aircraft's performance, as the only thing the plane will see is it airspeed (how fast it is moving in the air).