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today letamp;#39;s take a look at understanding the dot product again our goal is to have a real intuition for the idea and not just have it be a definition so the main thing to keep in mind with the dot product and itamp;#39;s neighbor the cross product is that weamp;#39;re trying to do a directional multiplication thatamp;#39;s kind of the intuition that I have is that weamp;#39;re basically doing multiplication and we want to keep track of things that are moving in the same direction if we have two vectors A and B they might have a few components right we have the X Y and Z component of each ax a y a z and BX b y bz with the do product we care about direction or movement in the same direction so essentially weamp;#39;re multiplying the X components of a and b the Y components and the Z components and weamp;#39;re kind of adding those up so the dot product is really tracking the similarity between two vectors because itamp;#39;s looking at the Shared components things that th