Electricity and magnetism The dot product Introduction to the
vector dot product. The dot product ⇐ Use this menu to view and
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using these subtitles. - Let'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 don't I give you the definition, and
then I'll give - you an intuition. - So if I have two vectors;
vector a dot vector b-- that'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. - It