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in geometric algebra there are many different operations that we use while Ive mentioned many of them on this channel I havent gone into too much detail on most of them there are also operations that I have just never mentioned before such as the regressive product or grade projection while Im going to be covering all of these operations in from zero to Geo eventually I thought it might be nice to have a video that gives a quick description of them all that can be used as a reference another issue that I want to deal with is that my previous explanations of most of these operations have mostly relied on vectors being arrows which is not always the case you can do geometric algebra on linear spaces other than the linear space of arrows and this leads us to the other flavors of geometric algebra the flavor that most of my videos have used is VGA where we start with vectors being arrows but in PGA a vector can be a plane and in CGA a vector can be a circle if we truly want to understan