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strictly, one adjusts the rake
Depends on what you mean by rake - motorcyclists and cyclists have different views. Since the head angle (rake to a motorcyclist) is fixed, adjusting the fork offset (sometimes called rake by cyclists) changes the trail.
https://en.wikipedia.org/wiki/Bicycle_and_motorcycle_geometry
gbj_tester
strictly, one adjusts the rake, not the trail. the trail is dependent on two variables.
you know this.