**Vectors**

*Vectors are useful for tracking the movement of an object and/or its velocity. This is a very important topic in a world where we have robot cars, auto-pilot functions in aeroplanes and other objects moving in an automated way.*

**Vectors Introduction**

Vectors are fundamentally about representing how far up/down and sideways you go. Vectors don't care what order you make the movements, only where you end up.

What is a Vector? It Represents the Total Change. (YouTube)

**Abstract Vector Problems**

Once you are familiar with the basics it is time to start trying more abstract questions.

**Vectors and Lines**

Just like in regular algebra a line is useful to represent an infinity of possible solutions. More mathematics skills are needed to cope with this.

Vector Equation of a Line (YouTube)

**Vectors and Operations**

As we get more advanced we can start doing "operations" with vectors that are broadly similar to things like multiplying numbers.

Dot Product Written Different Ways (UP4) (YouTube)

Here is a link back to the UPmaths homepage.