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whatamp;#39;s up everybody alan here coming with the last section of this chapter on algebraically defined vectors and this thing weamp;#39;re going to call the dot product so without further ado here we go so weamp;#39;ve talked about geometrically defining these vectors and what they look like and some of their attributes um now weamp;#39;re going to look at that directed line we called a vector to see if we can represent it algebraically with equations and variables and so iamp;#39;ve already drawn out a vector here and again thatamp;#39;s going to get us to a certain point so this point right here and if i was to algebraically say what that is normally we would have started at our origin of our x y axis and we would have marched over from the origin some distance x and then from there we would have gone up some distance y and we would have called that point x y now normally thatamp;#39;s what we would have done on all of our cartesian coordinate plane our rectangular coordin