Linear Algebra, Numpy, Numpy Tutorial, Data Science, Python.
say you have two vectors: 𝑢=⟨𝑎1,𝑎2,𝑎3⟩ and 𝑣=⟨𝑏1,𝑏2,𝑏3⟩. The cross product between u and v would be: 𝑢𝑥𝑣=|𝑢||𝑣|𝑠𝑖𝑛𝜃=⟨(𝑎2∗𝑏3−𝑎3∗𝑏2),(𝑎3∗𝑏1−𝑎1∗𝑏3),(𝑎1∗𝑏2−𝑎2∗𝑏1)⟩ For example, 𝑢=⟨1,2,3⟩ and 𝑣=⟨4,5,6⟩, the cross product between the two vectors would be: