Mastering Lagrange's Identity and Vector
Lagrange's Identity
It states that for any two vectors u and v:
||u x v||^2 + ||u · v||^2 = ||u||^2 ||v||^2
where ||u|| is the magnitude (or length) of vector u, and ||u x v|| and ||u · v|| are the magnitudes of the cross product and dot product of vectors u and v, respectively.
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