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is rather than adding when we added two vectors what we got we got a new vector right we got what we call the resultant vector when we subtracted we got a vector well now theres going to be a new operation that were going to do with two vectors but its not going to produce a vector its actually going to produce a scalar and were not going to talk too much about it today but next class were going to talk about more how were going to use that back how were going to use that scalar so what im going to what were going to do now is what we call the dot product okay so the dot product looks very very similar to like a multiplication symbol but i need you guys to understand that this is going to be when i ask for this dot youre going to see the symbol of a larger dot than a dot for multiplication youre going to apply the dot product what the dot product says if im going to say the dot product of u and v that is going to equal u 1 times v 1 plus u 2 times v 2. okay thats it that