Math Genius - The Dot Product lyrics

Time to saddle up, boys and gals! Today we're going to learn about the dot product. Given say, two vectors: v = < a,b > and u = < c,d > (a,b,c,d here are numbers) The dot product of these two vectors is given by v · u = a*c + b*d Not too bad, right? Notice how this answer doesn't have any brackets <> in it or commas! That's because the dot product is not a vector quantity, it's a scalar! That means that the dot product is purely a magnitude, it does not have a direction. Now, what if we are given the ludicrous task to calculate the dot product of a vector in the third dimension? Simple! Let us let v = < a,b,c > and u = < d,e,f > v · u = a*d + b*e * c*f Example: Let u = <6,2,5> and v = <1,3,4> Find w if w = v · u