Cross product is defined in three dimensions the resulting vector have the same magnitude as the area of the parallelogram formed by the 2 multiplied vectors and its direction direction is perpendicular to the first two vectors. so Can we come up with an equation using the same analogy but in 4-dimensional space(so that the resulting vector's magnitude is the volume of the parallelepiped formed by the three input vectors and it's direction is -somehow- perpendicular to the first three vectors)?
2026-03-25 21:45:50.1774475150
Cross product in 4 dimensions
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