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so dot product is a mathematical tool for dealing with vectors so if I have a vector a and I have some other vector B and I want to calculate the dot product how do I visualize it first off I put the vectors together and then I figure out the angle between them the dot product is this a dot B is defined as magnitude of a times magnitude of B times cosine of the angle between them it's the projection of one vector onto the other this is a scalar so this is known as the scalar product so if you hear those words it's the same thing as dot product dot product or scalar product because there's no vectors on the right-hand side here okay you took two vectors and got rid of the vector signs by writing it as this scalar product so back to the question that we just had if we have C dot C what do we get we get magnitude of C times magnitude of C times cosine of the angle between them what's the angle between C and C 0 and cosine of 0 is 1 and so we do just get C squared so dot products we're go...