https://3speak.tv/watch?v=mes/omhbcxkw
In this video I deep dive nearly 5 hours into vector functions and space curves. A vector function has a domain (or input) of real numbers and a range (or outputs) of vectors. Compare this with the real-valued functions that we are used to, which have inputs of real numbers (typically x) and the outputs are also real numbers (typically y = f(x)).
Vector functions can be written as there component parts, which are made up of real-valued functions. In this chapter I focus on vector functions with 3 component parts because they can be plotted in three dimensional parts. Obtaining the parametric equations of such vector functions obtains a space curve. That is, a curve that can be plotted in 3D space. I also dive into the limits of vector functions, and show how to plot space curves with 3D graphing calculators such as GeoGebra. Buckle up!
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