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Letamp;#39;s learn a little bit about the dot product. The dot product, frankly, out of the two ways of multiplying vectors, I think is the easier one. So what does the dot product do? Why donamp;#39;t I give you the definition, and then Iamp;#39;ll give you an intuition. So if I have two vectors; vector a dot vector b-- thatamp;#39;s how I draw my arrows. I can draw my arrows like that. That is equal to the magnitude of vector a times the magnitude of vector b times cosine of the angle between them. Now where does this come from? This might seem a little arbitrary, but I think with a visual explanation, it will make a little bit more sense. So let me draw, arbitrarily, these two vectors. So that is my vector a-- nice big and fat vector. Itamp;#39;s good for showing the point. And let me draw vector b like that. Vector b. And then let me draw the cosine, or let me, at least, draw the angle between them. This is theta. So thereamp;#39;s two ways of view this. Let me label them. Th
