75 - The Dot Product

We write the dot product with a little dot between two vectors , pronounced "a dot b", and it is defined as
where is the angle these two vectors make, meaning the dot product has to do with direction.

Specifically, when two vectors are parallel (point in the same direction), this angle, and therefore the dot product is zero.

An easier way to compute this is to sum up the products of each respective component, and we end up with