explain Lagrange identity
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In the study of ordinary differential equations and their associated boundary value problems, Lagrange's identity, named after Joseph Louis Lagrange, gives the boundary terms arising from integration by parts of a self-adjoint linear differential operator.
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Lagrange's identity for vectors
n three dimensions, Lagrange's identity asserts that if a and b are vectors in 3 with lengths ∣a∣ and ∣b∣, then Lagrange's identity can be written in terms of the cross product and dot product. ∣a∣2∣b∣2−(a⋅b)2=∣a×b∣2.
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