The Calculus of a Circle

If a particle moves in the two-dimensional (x-y) plane such that its velocity and position vectors are always orthogonal (perpendicular), then the particle's path must be a circle centered at the origin.

In this video, I walk through a full proof of this statement.

You'd typically see such a proof in a multivariable calculus course, but I hope my explanation is simple enough even for those who don't necessarily have this exposure.

#maths #math #mathematics #calculus #function #proof #circle #vector #vectors #derivatives

Видео The Calculus of a Circle канала ElectricalMath