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letamp;#39;s complete our discussion of vector multiplication by looking at the dot product and the cross product so earlier we looked at what happens when you do a scalar to vector multiplication where you just scale the length of the vector by whatever that scalar is thus the name scalar and now weamp;#39;re going to look at what happens when you multiply two vectors now unlike when we do scalar multiplication which we learned in grade school now when youamp;#39;re multiplying two by two vectors there are actually two kinds of multiplications that that we do the first is the dot product which is basically intuitively what it means is you have a vector a you have a vector b and what you do is you take one vector and you project it onto another so it the one way to view it is if you if you had a you know a sun shining straight down on it whatamp;#39;s the length of the shadow and you can also you can itamp;#39;s not sensitive to the order so if you had to do if you you can also pr
