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What Is the Cross Product of Two Vectors?
This is an almost impossible question to answer without knowing what would qualify as a satisfactory answer. I dip my toes into Lee algebra in my particle physics course, and it feels like the answer is hidden there. For those of you who don't know, if I have two vectors, the two vectors in three-dimensional space always describe a plane. You can always imagine the plane in which both vectors are simultaneously embedded. So the cross product of those two vectors is a third vector that is perpendicular to that plane.