Please explain why there are many different vector and parametric equations for a line.
2026-04-03 13:32:43.1775223163
Why are there so many different vector and parametric equations for a line?
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Let $\gamma:[a,b] \to \mathbb{R}^n$ be a parametric curve. If you have another function $f:[c,d] \to [a,b]$ that is increasing and bijective (a.k.a. order isomorphism), the composition $\gamma \circ f = \gamma(f(t))$ would be another parametrisation of the same curve.