Unit Vectors

When we’re thinking about vector notation, we’re used to seeing something like this:

But, we can also define it as a unit vector. If you take the below as an example, we have three vectors, one is red, one blue and one green. We can describe this as a unit vector.

So, we define two units, one i and one j. We put the hat over the character to show that it is a ‘unit’. 

Unit vectors are used to express other vectors by combining the magnitudes of those vectors with i and j. In our case, we have a vector of (2,3) , so our vector can be defined as 2i + 3j.

We can also carry out operations with our unit vector definitions. As you can see at the bottom, we can add vector v and vector b together.