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Professor Dave again, lets find dot products. We now understand what vectors are, and we can do some operations with them. We can add and subtract them, and we can multiply them by scalars. But we also want to be able to multiply two vectors together, and this is not as trivial, because we have to understand what we mean by this operation. There are actually two different ways that we can multiply two vectors, and the first kind of multiplication will give us something called the dot product. Lets learn how to perform this operation. The dot product is fairly intuitive. If we have some vector, A, with components A one, A two, and A three, and another vector, B, with components B one, B two, and B three, then its dot product will be denoted this way, as A dot B. This will be equal to A one B one, plus A two B two, plus A three B three. It is very important to note that this is a scalar product. The dot product does not give us another vector, it takes two vectors as an input, and give
