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hello welcome to this lesson in engineering mechanics and statics were going to talk in this lesson about the dot product but were going to focus on really talking about cases in which the dot product is very useful its actually used in lots of areas in science and math if youve taken a physics course youve probably seen the dot product in terms of the definition of work force dotted with distance right so thats kind of the physics realm here in mechanics were talking about force vectors and eventually well be talking about moments and other things we want to know under what circumstances we really want to use a dot product for something and theres theres lots of different answers to that but the the big ones that come to mind the ones that youre going to come to time and again cases in which case you might use a dot product is one case would be to find the angle theta between two vectors right so maybe you have you know a rope going here pulling with some force and I wrote