The length-tension relationship is the observation that muscle fibers have an optimal length for force output due to having a greater number of active crossbridges available to contribute to force production.
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The force velocity relationship illustrates that fiber level force output increases as contraction velocity goes down. Since we are talking specifically about fiber level force production, this relationship exists due to the greater degree of active cross-bridging occurring at a given time as a result of the slower contraction velocities. Fiber Level vs Whole Muscle
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The size principle is the observation that motor units (and the muscle fibers they control) are recruited by the nervous system on an as need basis to meet and/or maintain a requisite force output.
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