- #1

Cauchy1789

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## Homework Statement

I seem to remember that a parameterized a(t) curve in [tex]\mathbb{R}^3[/tex] that one can construct the tangent from the slope of a'(t) and the curve itself.

such that the tangent line L = a(t) + s * a'(t) to a. This is supposedly a straight line in [tex]\mathbb{R}^3[/tex].

To make a long question. What theorem allows me to construct the tangent in such a way? confused: