Mechanics

calculus-based physics for scientists and engineers

Vectors: Ordered Set Notation

Ordered Set Notation for Vectors: Introduction

Since you can translate a vector wherever you like, you can translate it so that its tail is at the origin of a coordinate system. The location of the tip uniquely defines the vector. From it you can calculate the vector's magnitude and direction. The coordinates of that point represent the ordered set notation for that vector.

Switching between Ordered Set and Descriptive Notation for Vectors

Let's see how to go back and forth between the descriptive notation for vectors and the ordered set notation.

Vector Arithmetic in Ordered Set Notation

We find out how to do arithmetic in ordered set notation, after which you will hate me for ever teaching you arithmetic in the descriptive notation.