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calculating the dot product of two vectors is one of the most common tensor operations in machine learning particularly deep learning in this video weamp;#39;ll use hands-on code demos to bring the concept of the dot product to life if we have two vectors say x and y with the same length n and they must have the same length n then we can calculate the dot product between them this is annotated in several different ways including the following youamp;#39;ve got x dot y x transpose y and then this particular angle bracket notation with commas with a comma in between x and y and i definitely prefer this x dot y notation though i also am okay with this x transpose y youamp;#39;ll certainly see this one a lot in the literature regardless which notation you use obviously the calculation is the same so how do we do the dot product well first we calculate the products in an element-wise fashion so this means the first element of x times the first element of y separately we calculate the pro