Light Intro to Tensors

Their paragraph is shown below, and the thing to look for is the idea of the "thing" just being a point and that the origin is coming from the coordinate system.

"Now, let V be the position vector extending from the origin of K to a particular point P, and V* be the position vector extending from the origin of K* to that same point. Assume that the origins of K and K* do not coincide; then V ≠ V*. The position vector is very definitely coordinate dependent and is not a tensor because it does not satisfy the condition of coordinate independence."

We take the opinion that the something isn't a vector unless it is defined by two points which exist independent of a coordinate system. (We allow someone to use a coordinate system to draw those two points that become a directed line segment--they must then prove it exists independent of coordinate system by removing their coordinate system.)

We use cookies to analyze website traffic and optimize your website experience. By accepting our use of cookies, your data will be aggregated with all other user data.