"A bad definition is worse than useless––it is misleading and the cause of endless confusion."The standard definition of a vector is: "a way to describe a quantity that has both magnitude and direction". Even ChatGPT4 states that: "A vector is a mathematical entity that possesses both …
I have a growing realisation of a noxious temptation to want to know more than I need at any one moment. Recently, I've found myself veering towards exotic mathematical ideas I was exposed to as part of my engineering education. For example, I was recently going through Maxwell's equations that …