Up to now, we have added and multiplied vectors and matrices with each other. There is much more to be said about vectors. Take for example a vector a and b. We might be interested in the length of a vector, the distance between vectors or the angle between vectors. Analysing these properties might help a lot for making inferences on certain topics, which will be discussed later on this course.
Analysing these properties might help us to fit a model, by fitting a line through a cloud of data points. In order to fit such a line, we need to know the distances from each point in the cloud up to the line – more specific – the shortest distance from each point in the cloud up to the line. Before we get into these topics, let’s take a look at the mathematics behind the geometrical properties.
